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Finding the Third Proportional to 766,698 and 1,160,793

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Solution

The third proportional to 766,698 and 1,160,793 is: 1,757,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,698 : 1,160,793 = 1,160,793 : x
  2. Step 2: Convert to fraction form
    766,698/1,160,793 = 1,160,793/x
  3. Step 3: Cross multiply
    766,698x = 1,160,793 × 1,160,793
  4. Step 4: Simplify right side
    766,698x = 1,347,440,388,849
  5. Step 5: Solve for x
    x = 1,347,440,388,849/766,698
  6. Step 6: Final answer
    x = 1,757,459.12

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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.