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Finding the Third Proportional to 510,750 and 1,109,952

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Solution

The third proportional to 510,750 and 1,109,952 is: 2,412,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,750 : 1,109,952 = 1,109,952 : x
  2. Step 2: Convert to fraction form
    510,750/1,109,952 = 1,109,952/x
  3. Step 3: Cross multiply
    510,750x = 1,109,952 × 1,109,952
  4. Step 4: Simplify right side
    510,750x = 1,231,993,442,304
  5. Step 5: Solve for x
    x = 1,231,993,442,304/510,750
  6. Step 6: Final answer
    x = 2,412,126.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.