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Finding the Third Proportional to 731,030 and 1,147,035

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Solution

The third proportional to 731,030 and 1,147,035 is: 1,799,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,030 : 1,147,035 = 1,147,035 : x
  2. Step 2: Convert to fraction form
    731,030/1,147,035 = 1,147,035/x
  3. Step 3: Cross multiply
    731,030x = 1,147,035 × 1,147,035
  4. Step 4: Simplify right side
    731,030x = 1,315,689,291,225
  5. Step 5: Solve for x
    x = 1,315,689,291,225/731,030
  6. Step 6: Final answer
    x = 1,799,774.69

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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.