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Finding the Third Proportional to 748,288 and 1,141,114

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Solution

The third proportional to 748,288 and 1,141,114 is: 1,740,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,288 : 1,141,114 = 1,141,114 : x
  2. Step 2: Convert to fraction form
    748,288/1,141,114 = 1,141,114/x
  3. Step 3: Cross multiply
    748,288x = 1,141,114 × 1,141,114
  4. Step 4: Simplify right side
    748,288x = 1,302,141,160,996
  5. Step 5: Solve for x
    x = 1,302,141,160,996/748,288
  6. Step 6: Final answer
    x = 1,740,160.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.