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Finding the Third Proportional to 582,028 and 897,066

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Solution

The third proportional to 582,028 and 897,066 is: 1,382,626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,028 : 897,066 = 897,066 : x
  2. Step 2: Convert to fraction form
    582,028/897,066 = 897,066/x
  3. Step 3: Cross multiply
    582,028x = 897,066 × 897,066
  4. Step 4: Simplify right side
    582,028x = 804,727,408,356
  5. Step 5: Solve for x
    x = 804,727,408,356/582,028
  6. Step 6: Final answer
    x = 1,382,626.62

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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.