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Finding the Third Proportional to 687,569 and 1,049,151

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Solution

The third proportional to 687,569 and 1,049,151 is: 1,600,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,569 : 1,049,151 = 1,049,151 : x
  2. Step 2: Convert to fraction form
    687,569/1,049,151 = 1,049,151/x
  3. Step 3: Cross multiply
    687,569x = 1,049,151 × 1,049,151
  4. Step 4: Simplify right side
    687,569x = 1,100,717,820,801
  5. Step 5: Solve for x
    x = 1,100,717,820,801/687,569
  6. Step 6: Final answer
    x = 1,600,883.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.