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Finding the Third Proportional to 654,721,762 and 1,418,418,224

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Solution

The third proportional to 654,721,762 and 1,418,418,224 is: 3,072,924,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,721,762 : 1,418,418,224 = 1,418,418,224 : x
  2. Step 2: Convert to fraction form
    654,721,762/1,418,418,224 = 1,418,418,224/x
  3. Step 3: Cross multiply
    654,721,762x = 1,418,418,224 × 1,418,418,224
  4. Step 4: Simplify right side
    654,721,762x = 2,011,910,258,175,314,176
  5. Step 5: Solve for x
    x = 2,011,910,258,175,314,176/654,721,762
  6. Step 6: Final answer
    x = 3,072,924,064.77

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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.