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Finding the Third Proportional to 654,722,098 and 1,418,418,895

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Solution

The third proportional to 654,722,098 and 1,418,418,895 is: 3,072,925,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,722,098 : 1,418,418,895 = 1,418,418,895 : x
  2. Step 2: Convert to fraction form
    654,722,098/1,418,418,895 = 1,418,418,895/x
  3. Step 3: Cross multiply
    654,722,098x = 1,418,418,895 × 1,418,418,895
  4. Step 4: Simplify right side
    654,722,098x = 2,011,912,161,693,020,928
  5. Step 5: Solve for x
    x = 2,011,912,161,693,020,928/654,722,098
  6. Step 6: Final answer
    x = 3,072,925,395.12

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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.