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Finding the Third Proportional to 1,243,423.13 and 1,920,079.69

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Solution

The third proportional to 1,243,423.13 and 1,920,079.69 is: 2,964,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,423.13 : 1,920,079.69 = 1,920,079.69 : x
  2. Step 2: Convert to fraction form
    1,243,423.13/1,920,079.69 = 1,920,079.69/x
  3. Step 3: Cross multiply
    1,243,423.13x = 1,920,079.69 × 1,920,079.69
  4. Step 4: Simplify right side
    1,243,423.13x = 3,686,706,006,350.10
  5. Step 5: Solve for x
    x = 3,686,706,006,350.10/1,243,423.13
  6. Step 6: Final answer
    x = 2,964,964.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.