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Finding the Third Proportional to 454,772,640 and 1,000,223,808

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Solution

The third proportional to 454,772,640 and 1,000,223,808 is: 2,199,885,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,772,640 : 1,000,223,808 = 1,000,223,808 : x
  2. Step 2: Convert to fraction form
    454,772,640/1,000,223,808 = 1,000,223,808/x
  3. Step 3: Cross multiply
    454,772,640x = 1,000,223,808 × 1,000,223,808
  4. Step 4: Simplify right side
    454,772,640x = 1,000,447,666,090,020,864
  5. Step 5: Solve for x
    x = 1,000,447,666,090,020,864/454,772,640
  6. Step 6: Final answer
    x = 2,199,885,345.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.