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Finding the Third Proportional to 534,785 and 1,189,113

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Solution

The third proportional to 534,785 and 1,189,113 is: 2,644,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,785 : 1,189,113 = 1,189,113 : x
  2. Step 2: Convert to fraction form
    534,785/1,189,113 = 1,189,113/x
  3. Step 3: Cross multiply
    534,785x = 1,189,113 × 1,189,113
  4. Step 4: Simplify right side
    534,785x = 1,413,989,726,769
  5. Step 5: Solve for x
    x = 1,413,989,726,769/534,785
  6. Step 6: Final answer
    x = 2,644,034.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.