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Finding the Third Proportional to 731,115 and 1,090,584

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Solution

The third proportional to 731,115 and 1,090,584 is: 1,626,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,115 : 1,090,584 = 1,090,584 : x
  2. Step 2: Convert to fraction form
    731,115/1,090,584 = 1,090,584/x
  3. Step 3: Cross multiply
    731,115x = 1,090,584 × 1,090,584
  4. Step 4: Simplify right side
    731,115x = 1,189,373,461,056
  5. Step 5: Solve for x
    x = 1,189,373,461,056/731,115
  6. Step 6: Final answer
    x = 1,626,793.95

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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.