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Finding the Third Proportional to 529,920 and 1,147,914

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Solution

The third proportional to 529,920 and 1,147,914 is: 2,486,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,920 : 1,147,914 = 1,147,914 : x
  2. Step 2: Convert to fraction form
    529,920/1,147,914 = 1,147,914/x
  3. Step 3: Cross multiply
    529,920x = 1,147,914 × 1,147,914
  4. Step 4: Simplify right side
    529,920x = 1,317,706,551,396
  5. Step 5: Solve for x
    x = 1,317,706,551,396/529,920
  6. Step 6: Final answer
    x = 2,486,614.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.