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Finding the Third Proportional to 619,472 and 908,738

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Solution

The third proportional to 619,472 and 908,738 is: 1,333,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,472 : 908,738 = 908,738 : x
  2. Step 2: Convert to fraction form
    619,472/908,738 = 908,738/x
  3. Step 3: Cross multiply
    619,472x = 908,738 × 908,738
  4. Step 4: Simplify right side
    619,472x = 825,804,752,644
  5. Step 5: Solve for x
    x = 825,804,752,644/619,472
  6. Step 6: Final answer
    x = 1,333,078.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.