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Finding the Third Proportional to 611,082 and 897,891.75

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Solution

The third proportional to 611,082 and 897,891.75 is: 1,319,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,082 : 897,891.75 = 897,891.75 : x
  2. Step 2: Convert to fraction form
    611,082/897,891.75 = 897,891.75/x
  3. Step 3: Cross multiply
    611,082x = 897,891.75 × 897,891.75
  4. Step 4: Simplify right side
    611,082x = 806,209,594,718.06
  5. Step 5: Solve for x
    x = 806,209,594,718.06/611,082
  6. Step 6: Final answer
    x = 1,319,314.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.