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Finding the Third Proportional to 424,555.50 and 927,842.25

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Solution

The third proportional to 424,555.50 and 927,842.25 is: 2,027,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,555.50 : 927,842.25 = 927,842.25 : x
  2. Step 2: Convert to fraction form
    424,555.50/927,842.25 = 927,842.25/x
  3. Step 3: Cross multiply
    424,555.50x = 927,842.25 × 927,842.25
  4. Step 4: Simplify right side
    424,555.50x = 860,891,240,885.06
  5. Step 5: Solve for x
    x = 860,891,240,885.06/424,555.50
  6. Step 6: Final answer
    x = 2,027,747.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.