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Finding the Third Proportional to 782,006 and 1,703,974

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Solution

The third proportional to 782,006 and 1,703,974 is: 3,712,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,006 : 1,703,974 = 1,703,974 : x
  2. Step 2: Convert to fraction form
    782,006/1,703,974 = 1,703,974/x
  3. Step 3: Cross multiply
    782,006x = 1,703,974 × 1,703,974
  4. Step 4: Simplify right side
    782,006x = 2,903,527,392,676
  5. Step 5: Solve for x
    x = 2,903,527,392,676/782,006
  6. Step 6: Final answer
    x = 3,712,922.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.