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Finding the Third Proportional to 395,209.13 and 869,145.19

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Solution

The third proportional to 395,209.13 and 869,145.19 is: 1,911,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,209.13 : 869,145.19 = 869,145.19 : x
  2. Step 2: Convert to fraction form
    395,209.13/869,145.19 = 869,145.19/x
  3. Step 3: Cross multiply
    395,209.13x = 869,145.19 × 869,145.19
  4. Step 4: Simplify right side
    395,209.13x = 755,413,356,954.41
  5. Step 5: Solve for x
    x = 755,413,356,954.41/395,209.13
  6. Step 6: Final answer
    x = 1,911,426.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.