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Finding the Third Proportional to 500,509.13 and 1,079,740.13

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Solution

The third proportional to 500,509.13 and 1,079,740.13 is: 2,329,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,509.13 : 1,079,740.13 = 1,079,740.13 : x
  2. Step 2: Convert to fraction form
    500,509.13/1,079,740.13 = 1,079,740.13/x
  3. Step 3: Cross multiply
    500,509.13x = 1,079,740.13 × 1,079,740.13
  4. Step 4: Simplify right side
    500,509.13x = 1,165,838,737,535.02
  5. Step 5: Solve for x
    x = 1,165,838,737,535.02/500,509.13
  6. Step 6: Final answer
    x = 2,329,305.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.