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Finding the Third Proportional to 431,712 and 897,804

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Solution

The third proportional to 431,712 and 897,804 is: 1,867,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,712 : 897,804 = 897,804 : x
  2. Step 2: Convert to fraction form
    431,712/897,804 = 897,804/x
  3. Step 3: Cross multiply
    431,712x = 897,804 × 897,804
  4. Step 4: Simplify right side
    431,712x = 806,052,022,416
  5. Step 5: Solve for x
    x = 806,052,022,416/431,712
  6. Step 6: Final answer
    x = 1,867,105.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.