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Finding the Third Proportional to 610,826 and 932,034

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Solution

The third proportional to 610,826 and 932,034 is: 1,422,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,826 : 932,034 = 932,034 : x
  2. Step 2: Convert to fraction form
    610,826/932,034 = 932,034/x
  3. Step 3: Cross multiply
    610,826x = 932,034 × 932,034
  4. Step 4: Simplify right side
    610,826x = 868,687,377,156
  5. Step 5: Solve for x
    x = 868,687,377,156/610,826
  6. Step 6: Final answer
    x = 1,422,151.93

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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.