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Finding the Third Proportional to 812,641 and 1,260,046

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Solution

The third proportional to 812,641 and 1,260,046 is: 1,953,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,641 : 1,260,046 = 1,260,046 : x
  2. Step 2: Convert to fraction form
    812,641/1,260,046 = 1,260,046/x
  3. Step 3: Cross multiply
    812,641x = 1,260,046 × 1,260,046
  4. Step 4: Simplify right side
    812,641x = 1,587,715,922,116
  5. Step 5: Solve for x
    x = 1,587,715,922,116/812,641
  6. Step 6: Final answer
    x = 1,953,772.85

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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.