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Finding the Third Proportional to 864,641 and 1,381,283

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Solution

The third proportional to 864,641 and 1,381,283 is: 2,206,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,641 : 1,381,283 = 1,381,283 : x
  2. Step 2: Convert to fraction form
    864,641/1,381,283 = 1,381,283/x
  3. Step 3: Cross multiply
    864,641x = 1,381,283 × 1,381,283
  4. Step 4: Simplify right side
    864,641x = 1,907,942,726,089
  5. Step 5: Solve for x
    x = 1,907,942,726,089/864,641
  6. Step 6: Final answer
    x = 2,206,629.95

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.