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Finding the Third Proportional to 765,182 and 1,143,775

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Solution

The third proportional to 765,182 and 1,143,775 is: 1,709,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,182 : 1,143,775 = 1,143,775 : x
  2. Step 2: Convert to fraction form
    765,182/1,143,775 = 1,143,775/x
  3. Step 3: Cross multiply
    765,182x = 1,143,775 × 1,143,775
  4. Step 4: Simplify right side
    765,182x = 1,308,221,250,625
  5. Step 5: Solve for x
    x = 1,308,221,250,625/765,182
  6. Step 6: Final answer
    x = 1,709,686.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.