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Finding the Third Proportional to 749,318.34 and 1,641,242.25

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Solution

The third proportional to 749,318.34 and 1,641,242.25 is: 3,594,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,318.34 : 1,641,242.25 = 1,641,242.25 : x
  2. Step 2: Convert to fraction form
    749,318.34/1,641,242.25 = 1,641,242.25/x
  3. Step 3: Cross multiply
    749,318.34x = 1,641,242.25 × 1,641,242.25
  4. Step 4: Simplify right side
    749,318.34x = 2,693,676,123,185.06
  5. Step 5: Solve for x
    x = 2,693,676,123,185.06/749,318.34
  6. Step 6: Final answer
    x = 3,594,835.42

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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.