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Finding the Third Proportional to 748,032 and 1,052,160

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Solution

The third proportional to 748,032 and 1,052,160 is: 1,479,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,032 : 1,052,160 = 1,052,160 : x
  2. Step 2: Convert to fraction form
    748,032/1,052,160 = 1,052,160/x
  3. Step 3: Cross multiply
    748,032x = 1,052,160 × 1,052,160
  4. Step 4: Simplify right side
    748,032x = 1,107,040,665,600
  5. Step 5: Solve for x
    x = 1,107,040,665,600/748,032
  6. Step 6: Final answer
    x = 1,479,937.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.