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Finding the Third Proportional to 935,200 and 1,446,448

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Solution

The third proportional to 935,200 and 1,446,448 is: 2,237,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,200 : 1,446,448 = 1,446,448 : x
  2. Step 2: Convert to fraction form
    935,200/1,446,448 = 1,446,448/x
  3. Step 3: Cross multiply
    935,200x = 1,446,448 × 1,446,448
  4. Step 4: Simplify right side
    935,200x = 2,092,211,816,704
  5. Step 5: Solve for x
    x = 2,092,211,816,704/935,200
  6. Step 6: Final answer
    x = 2,237,181.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.