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Finding the Third Proportional to 746,381,558 and 1,104,885,537

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Solution

The third proportional to 746,381,558 and 1,104,885,537 is: 1,635,587,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,381,558 : 1,104,885,537 = 1,104,885,537 : x
  2. Step 2: Convert to fraction form
    746,381,558/1,104,885,537 = 1,104,885,537/x
  3. Step 3: Cross multiply
    746,381,558x = 1,104,885,537 × 1,104,885,537
  4. Step 4: Simplify right side
    746,381,558x = 1,220,772,049,871,778,304
  5. Step 5: Solve for x
    x = 1,220,772,049,871,778,304/746,381,558
  6. Step 6: Final answer
    x = 1,635,587,102.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.