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Finding the Third Proportional to 420,881 and 900,974

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Solution

The third proportional to 420,881 and 900,974 is: 1,928,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,881 : 900,974 = 900,974 : x
  2. Step 2: Convert to fraction form
    420,881/900,974 = 900,974/x
  3. Step 3: Cross multiply
    420,881x = 900,974 × 900,974
  4. Step 4: Simplify right side
    420,881x = 811,754,148,676
  5. Step 5: Solve for x
    x = 811,754,148,676/420,881
  6. Step 6: Final answer
    x = 1,928,702.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.