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Finding the Third Proportional to 674,881.88 and 1,425,640.50

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Solution

The third proportional to 674,881.88 and 1,425,640.50 is: 3,011,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,881.88 : 1,425,640.50 = 1,425,640.50 : x
  2. Step 2: Convert to fraction form
    674,881.88/1,425,640.50 = 1,425,640.50/x
  3. Step 3: Cross multiply
    674,881.88x = 1,425,640.50 × 1,425,640.50
  4. Step 4: Simplify right side
    674,881.88x = 2,032,450,835,240.25
  5. Step 5: Solve for x
    x = 2,032,450,835,240.25/674,881.88
  6. Step 6: Final answer
    x = 3,011,565.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.