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Finding the Third Proportional to 610,839 and 932,058

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Solution

The third proportional to 610,839 and 932,058 is: 1,422,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,839 : 932,058 = 932,058 : x
  2. Step 2: Convert to fraction form
    610,839/932,058 = 932,058/x
  3. Step 3: Cross multiply
    610,839x = 932,058 × 932,058
  4. Step 4: Simplify right side
    610,839x = 868,732,115,364
  5. Step 5: Solve for x
    x = 868,732,115,364/610,839
  6. Step 6: Final answer
    x = 1,422,194.91

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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.