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Finding the Third Proportional to 584,945,776 and 1,270,585,564

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Solution

The third proportional to 584,945,776 and 1,270,585,564 is: 2,759,892,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,945,776 : 1,270,585,564 = 1,270,585,564 : x
  2. Step 2: Convert to fraction form
    584,945,776/1,270,585,564 = 1,270,585,564/x
  3. Step 3: Cross multiply
    584,945,776x = 1,270,585,564 × 1,270,585,564
  4. Step 4: Simplify right side
    584,945,776x = 1,614,387,675,445,198,080
  5. Step 5: Solve for x
    x = 1,614,387,675,445,198,080/584,945,776
  6. Step 6: Final answer
    x = 2,759,892,868.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.