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Finding the Third Proportional to 582,030 and 897,069

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Solution

The third proportional to 582,030 and 897,069 is: 1,382,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,030 : 897,069 = 897,069 : x
  2. Step 2: Convert to fraction form
    582,030/897,069 = 897,069/x
  3. Step 3: Cross multiply
    582,030x = 897,069 × 897,069
  4. Step 4: Simplify right side
    582,030x = 804,732,790,761
  5. Step 5: Solve for x
    x = 804,732,790,761/582,030
  6. Step 6: Final answer
    x = 1,382,631.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.