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Finding the Third Proportional to 813,934.69 and 1,767,943.69

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Solution

The third proportional to 813,934.69 and 1,767,943.69 is: 3,840,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,934.69 : 1,767,943.69 = 1,767,943.69 : x
  2. Step 2: Convert to fraction form
    813,934.69/1,767,943.69 = 1,767,943.69/x
  3. Step 3: Cross multiply
    813,934.69x = 1,767,943.69 × 1,767,943.69
  4. Step 4: Simplify right side
    813,934.69x = 3,125,624,882,171.10
  5. Step 5: Solve for x
    x = 3,125,624,882,171.10/813,934.69
  6. Step 6: Final answer
    x = 3,840,142.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.