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Finding the Third Proportional to 754,608 and 1,141,632

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Solution

The third proportional to 754,608 and 1,141,632 is: 1,727,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,608 : 1,141,632 = 1,141,632 : x
  2. Step 2: Convert to fraction form
    754,608/1,141,632 = 1,141,632/x
  3. Step 3: Cross multiply
    754,608x = 1,141,632 × 1,141,632
  4. Step 4: Simplify right side
    754,608x = 1,303,323,623,424
  5. Step 5: Solve for x
    x = 1,303,323,623,424/754,608
  6. Step 6: Final answer
    x = 1,727,153.20

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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.