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Finding the Third Proportional to 1,933,743.38 and 4,098,005.16

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Solution

The third proportional to 1,933,743.38 and 4,098,005.16 is: 8,684,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933,743.38 : 4,098,005.16 = 4,098,005.16 : x
  2. Step 2: Convert to fraction form
    1,933,743.38/4,098,005.16 = 4,098,005.16/x
  3. Step 3: Cross multiply
    1,933,743.38x = 4,098,005.16 × 4,098,005.16
  4. Step 4: Simplify right side
    1,933,743.38x = 16,793,646,260,651.59
  5. Step 5: Solve for x
    x = 16,793,646,260,651.59/1,933,743.38
  6. Step 6: Final answer
    x = 8,684,526.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.