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Finding the Third Proportional to 676,957.50 and 1,441,638

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Solution

The third proportional to 676,957.50 and 1,441,638 is: 3,070,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,957.50 : 1,441,638 = 1,441,638 : x
  2. Step 2: Convert to fraction form
    676,957.50/1,441,638 = 1,441,638/x
  3. Step 3: Cross multiply
    676,957.50x = 1,441,638 × 1,441,638
  4. Step 4: Simplify right side
    676,957.50x = 2,078,320,123,044
  5. Step 5: Solve for x
    x = 2,078,320,123,044/676,957.50
  6. Step 6: Final answer
    x = 3,070,089.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.