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Finding the Third Proportional to 616,782 and 953,187

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Solution

The third proportional to 616,782 and 953,187 is: 1,473,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,782 : 953,187 = 953,187 : x
  2. Step 2: Convert to fraction form
    616,782/953,187 = 953,187/x
  3. Step 3: Cross multiply
    616,782x = 953,187 × 953,187
  4. Step 4: Simplify right side
    616,782x = 908,565,456,969
  5. Step 5: Solve for x
    x = 908,565,456,969/616,782
  6. Step 6: Final answer
    x = 1,473,073.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.