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Finding the Third Proportional to 637,493.41 and 1,377,744.50

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Solution

The third proportional to 637,493.41 and 1,377,744.50 is: 2,977,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,493.41 : 1,377,744.50 = 1,377,744.50 : x
  2. Step 2: Convert to fraction form
    637,493.41/1,377,744.50 = 1,377,744.50/x
  3. Step 3: Cross multiply
    637,493.41x = 1,377,744.50 × 1,377,744.50
  4. Step 4: Simplify right side
    637,493.41x = 1,898,179,918,043.74
  5. Step 5: Solve for x
    x = 1,898,179,918,043.74/637,493.41
  6. Step 6: Final answer
    x = 2,977,567.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.