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Finding the Third Proportional to 766,782 and 1,160,928

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Solution

The third proportional to 766,782 and 1,160,928 is: 1,757,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,782 : 1,160,928 = 1,160,928 : x
  2. Step 2: Convert to fraction form
    766,782/1,160,928 = 1,160,928/x
  3. Step 3: Cross multiply
    766,782x = 1,160,928 × 1,160,928
  4. Step 4: Simplify right side
    766,782x = 1,347,753,821,184
  5. Step 5: Solve for x
    x = 1,347,753,821,184/766,782
  6. Step 6: Final answer
    x = 1,757,675.35

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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.