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Finding the Third Proportional to 819,757.13 and 1,146,332.25

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Solution

The third proportional to 819,757.13 and 1,146,332.25 is: 1,603,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,757.13 : 1,146,332.25 = 1,146,332.25 : x
  2. Step 2: Convert to fraction form
    819,757.13/1,146,332.25 = 1,146,332.25/x
  3. Step 3: Cross multiply
    819,757.13x = 1,146,332.25 × 1,146,332.25
  4. Step 4: Simplify right side
    819,757.13x = 1,314,077,627,390.06
  5. Step 5: Solve for x
    x = 1,314,077,627,390.06/819,757.13
  6. Step 6: Final answer
    x = 1,603,008.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.