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Finding the Third Proportional to 582,988 and 1,274,984

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Solution

The third proportional to 582,988 and 1,274,984 is: 2,788,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,988 : 1,274,984 = 1,274,984 : x
  2. Step 2: Convert to fraction form
    582,988/1,274,984 = 1,274,984/x
  3. Step 3: Cross multiply
    582,988x = 1,274,984 × 1,274,984
  4. Step 4: Simplify right side
    582,988x = 1,625,584,200,256
  5. Step 5: Solve for x
    x = 1,625,584,200,256/582,988
  6. Step 6: Final answer
    x = 2,788,366.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.