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Finding the Third Proportional to 731,028 and 1,147,032

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Solution

The third proportional to 731,028 and 1,147,032 is: 1,799,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,028 : 1,147,032 = 1,147,032 : x
  2. Step 2: Convert to fraction form
    731,028/1,147,032 = 1,147,032/x
  3. Step 3: Cross multiply
    731,028x = 1,147,032 × 1,147,032
  4. Step 4: Simplify right side
    731,028x = 1,315,682,409,024
  5. Step 5: Solve for x
    x = 1,315,682,409,024/731,028
  6. Step 6: Final answer
    x = 1,799,770.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.