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Finding the Third Proportional to 917,759 and 1,290,103

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Solution

The third proportional to 917,759 and 1,290,103 is: 1,813,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,759 : 1,290,103 = 1,290,103 : x
  2. Step 2: Convert to fraction form
    917,759/1,290,103 = 1,290,103/x
  3. Step 3: Cross multiply
    917,759x = 1,290,103 × 1,290,103
  4. Step 4: Simplify right side
    917,759x = 1,664,365,750,609
  5. Step 5: Solve for x
    x = 1,664,365,750,609/917,759
  6. Step 6: Final answer
    x = 1,813,510.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.