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Finding the Third Proportional to 610,233,417.75 and 1,324,496,403

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Solution

The third proportional to 610,233,417.75 and 1,324,496,403 is: 2,874,786,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,233,417.75 : 1,324,496,403 = 1,324,496,403 : x
  2. Step 2: Convert to fraction form
    610,233,417.75/1,324,496,403 = 1,324,496,403/x
  3. Step 3: Cross multiply
    610,233,417.75x = 1,324,496,403 × 1,324,496,403
  4. Step 4: Simplify right side
    610,233,417.75x = 1,754,290,721,559,938,304
  5. Step 5: Solve for x
    x = 1,754,290,721,559,938,304/610,233,417.75
  6. Step 6: Final answer
    x = 2,874,786,385.89

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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.