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Finding the Third Proportional to 610,834 and 932,045

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Solution

The third proportional to 610,834 and 932,045 is: 1,422,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,834 : 932,045 = 932,045 : x
  2. Step 2: Convert to fraction form
    610,834/932,045 = 932,045/x
  3. Step 3: Cross multiply
    610,834x = 932,045 × 932,045
  4. Step 4: Simplify right side
    610,834x = 868,707,882,025
  5. Step 5: Solve for x
    x = 868,707,882,025/610,834
  6. Step 6: Final answer
    x = 1,422,166.88

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Why These Related Problems?

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