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Finding the Third Proportional to 817,684 and 1,218,534

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Solution

The third proportional to 817,684 and 1,218,534 is: 1,815,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,684 : 1,218,534 = 1,218,534 : x
  2. Step 2: Convert to fraction form
    817,684/1,218,534 = 1,218,534/x
  3. Step 3: Cross multiply
    817,684x = 1,218,534 × 1,218,534
  4. Step 4: Simplify right side
    817,684x = 1,484,825,109,156
  5. Step 5: Solve for x
    x = 1,484,825,109,156/817,684
  6. Step 6: Final answer
    x = 1,815,891.11

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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.