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Finding the Third Proportional to 610,836 and 932,048

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Solution

The third proportional to 610,836 and 932,048 is: 1,422,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,836 : 932,048 = 932,048 : x
  2. Step 2: Convert to fraction form
    610,836/932,048 = 932,048/x
  3. Step 3: Cross multiply
    610,836x = 932,048 × 932,048
  4. Step 4: Simplify right side
    610,836x = 868,713,474,304
  5. Step 5: Solve for x
    x = 868,713,474,304/610,836
  6. Step 6: Final answer
    x = 1,422,171.38

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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.