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Finding the Third Proportional to 616,983 and 932,036

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Solution

The third proportional to 616,983 and 932,036 is: 1,407,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,983 : 932,036 = 932,036 : x
  2. Step 2: Convert to fraction form
    616,983/932,036 = 932,036/x
  3. Step 3: Cross multiply
    616,983x = 932,036 × 932,036
  4. Step 4: Simplify right side
    616,983x = 868,691,105,296
  5. Step 5: Solve for x
    x = 868,691,105,296/616,983
  6. Step 6: Final answer
    x = 1,407,966.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.