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Finding the Third Proportional to 413,894,547 and 901,272,294

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Solution

The third proportional to 413,894,547 and 901,272,294 is: 1,962,557,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,894,547 : 901,272,294 = 901,272,294 : x
  2. Step 2: Convert to fraction form
    413,894,547/901,272,294 = 901,272,294/x
  3. Step 3: Cross multiply
    413,894,547x = 901,272,294 × 901,272,294
  4. Step 4: Simplify right side
    413,894,547x = 812,291,747,932,022,400
  5. Step 5: Solve for x
    x = 812,291,747,932,022,400/413,894,547
  6. Step 6: Final answer
    x = 1,962,557,259.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.