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Finding the Third Proportional to 996,337.13 and 1,586,139.47

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Solution

The third proportional to 996,337.13 and 1,586,139.47 is: 2,525,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,337.13 : 1,586,139.47 = 1,586,139.47 : x
  2. Step 2: Convert to fraction form
    996,337.13/1,586,139.47 = 1,586,139.47/x
  3. Step 3: Cross multiply
    996,337.13x = 1,586,139.47 × 1,586,139.47
  4. Step 4: Simplify right side
    996,337.13x = 2,515,838,414,326.53
  5. Step 5: Solve for x
    x = 2,515,838,414,326.53/996,337.13
  6. Step 6: Final answer
    x = 2,525,087.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.