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Finding the Third Proportional to 732,966 and 1,576,740

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Solution

The third proportional to 732,966 and 1,576,740 is: 3,391,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,966 : 1,576,740 = 1,576,740 : x
  2. Step 2: Convert to fraction form
    732,966/1,576,740 = 1,576,740/x
  3. Step 3: Cross multiply
    732,966x = 1,576,740 × 1,576,740
  4. Step 4: Simplify right side
    732,966x = 2,486,109,027,600
  5. Step 5: Solve for x
    x = 2,486,109,027,600/732,966
  6. Step 6: Final answer
    x = 3,391,847.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.