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Finding the Third Proportional to 518,950.41 and 1,123,193.53

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Solution

The third proportional to 518,950.41 and 1,123,193.53 is: 2,430,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,950.41 : 1,123,193.53 = 1,123,193.53 : x
  2. Step 2: Convert to fraction form
    518,950.41/1,123,193.53 = 1,123,193.53/x
  3. Step 3: Cross multiply
    518,950.41x = 1,123,193.53 × 1,123,193.53
  4. Step 4: Simplify right side
    518,950.41x = 1,261,563,708,641.84
  5. Step 5: Solve for x
    x = 1,261,563,708,641.84/518,950.41
  6. Step 6: Final answer
    x = 2,430,990.89

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Why These Related Problems?

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