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Finding the Third Proportional to 1,903,416 and 4,120,464

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Solution

The third proportional to 1,903,416 and 4,120,464 is: 8,919,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903,416 : 4,120,464 = 4,120,464 : x
  2. Step 2: Convert to fraction form
    1,903,416/4,120,464 = 4,120,464/x
  3. Step 3: Cross multiply
    1,903,416x = 4,120,464 × 4,120,464
  4. Step 4: Simplify right side
    1,903,416x = 16,978,223,575,296
  5. Step 5: Solve for x
    x = 16,978,223,575,296/1,903,416
  6. Step 6: Final answer
    x = 8,919,870.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.