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Finding the Third Proportional to 726,088 and 1,015,584

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Solution

The third proportional to 726,088 and 1,015,584 is: 1,420,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,088 : 1,015,584 = 1,015,584 : x
  2. Step 2: Convert to fraction form
    726,088/1,015,584 = 1,015,584/x
  3. Step 3: Cross multiply
    726,088x = 1,015,584 × 1,015,584
  4. Step 4: Simplify right side
    726,088x = 1,031,410,861,056
  5. Step 5: Solve for x
    x = 1,031,410,861,056/726,088
  6. Step 6: Final answer
    x = 1,420,503.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.