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Finding the Third Proportional to 816,332 and 1,225,320

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Solution

The third proportional to 816,332 and 1,225,320 is: 1,839,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,332 : 1,225,320 = 1,225,320 : x
  2. Step 2: Convert to fraction form
    816,332/1,225,320 = 1,225,320/x
  3. Step 3: Cross multiply
    816,332x = 1,225,320 × 1,225,320
  4. Step 4: Simplify right side
    816,332x = 1,501,409,102,400
  5. Step 5: Solve for x
    x = 1,501,409,102,400/816,332
  6. Step 6: Final answer
    x = 1,839,213.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.