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Finding the Third Proportional to 1,749,787.31 and 3,639,250.27

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Solution

The third proportional to 1,749,787.31 and 3,639,250.27 is: 7,569,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,787.31 : 3,639,250.27 = 3,639,250.27 : x
  2. Step 2: Convert to fraction form
    1,749,787.31/3,639,250.27 = 3,639,250.27/x
  3. Step 3: Cross multiply
    1,749,787.31x = 3,639,250.27 × 3,639,250.27
  4. Step 4: Simplify right side
    1,749,787.31x = 13,244,142,495,851.63
  5. Step 5: Solve for x
    x = 13,244,142,495,851.63/1,749,787.31
  6. Step 6: Final answer
    x = 7,569,001.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.