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Finding the Third Proportional to 865,200 and 1,290,624

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Solution

The third proportional to 865,200 and 1,290,624 is: 1,925,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,200 : 1,290,624 = 1,290,624 : x
  2. Step 2: Convert to fraction form
    865,200/1,290,624 = 1,290,624/x
  3. Step 3: Cross multiply
    865,200x = 1,290,624 × 1,290,624
  4. Step 4: Simplify right side
    865,200x = 1,665,710,309,376
  5. Step 5: Solve for x
    x = 1,665,710,309,376/865,200
  6. Step 6: Final answer
    x = 1,925,231.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.