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Finding the Third Proportional to 754,560 and 1,141,584

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Solution

The third proportional to 754,560 and 1,141,584 is: 1,727,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,560 : 1,141,584 = 1,141,584 : x
  2. Step 2: Convert to fraction form
    754,560/1,141,584 = 1,141,584/x
  3. Step 3: Cross multiply
    754,560x = 1,141,584 × 1,141,584
  4. Step 4: Simplify right side
    754,560x = 1,303,214,029,056
  5. Step 5: Solve for x
    x = 1,303,214,029,056/754,560
  6. Step 6: Final answer
    x = 1,727,117.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.