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Finding the Third Proportional to 892,432.69 and 1,832,387.06

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Solution

The third proportional to 892,432.69 and 1,832,387.06 is: 3,762,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,432.69 : 1,832,387.06 = 1,832,387.06 : x
  2. Step 2: Convert to fraction form
    892,432.69/1,832,387.06 = 1,832,387.06/x
  3. Step 3: Cross multiply
    892,432.69x = 1,832,387.06 × 1,832,387.06
  4. Step 4: Simplify right side
    892,432.69x = 3,357,642,346,817.38
  5. Step 5: Solve for x
    x = 3,357,642,346,817.38/892,432.69
  6. Step 6: Final answer
    x = 3,762,348.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.