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Finding the Third Proportional to 488,223,763.88 and 1,071,263,809.13

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Solution

The third proportional to 488,223,763.88 and 1,071,263,809.13 is: 2,350,574,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,223,763.88 : 1,071,263,809.13 = 1,071,263,809.13 : x
  2. Step 2: Convert to fraction form
    488,223,763.88/1,071,263,809.13 = 1,071,263,809.13/x
  3. Step 3: Cross multiply
    488,223,763.88x = 1,071,263,809.13 × 1,071,263,809.13
  4. Step 4: Simplify right side
    488,223,763.88x = 1,147,606,148,741,004,416
  5. Step 5: Solve for x
    x = 1,147,606,148,741,004,416/488,223,763.88
  6. Step 6: Final answer
    x = 2,350,574,129.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.