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Finding the Third Proportional to 813,304.13 and 1,217,494.69

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Solution

The third proportional to 813,304.13 and 1,217,494.69 is: 1,822,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,304.13 : 1,217,494.69 = 1,217,494.69 : x
  2. Step 2: Convert to fraction form
    813,304.13/1,217,494.69 = 1,217,494.69/x
  3. Step 3: Cross multiply
    813,304.13x = 1,217,494.69 × 1,217,494.69
  4. Step 4: Simplify right side
    813,304.13x = 1,482,293,314,090.72
  5. Step 5: Solve for x
    x = 1,482,293,314,090.72/813,304.13
  6. Step 6: Final answer
    x = 1,822,557.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.