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Finding the Third Proportional to 1,947,486 and 4,206,012

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Solution

The third proportional to 1,947,486 and 4,206,012 is: 9,083,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,486 : 4,206,012 = 4,206,012 : x
  2. Step 2: Convert to fraction form
    1,947,486/4,206,012 = 4,206,012/x
  3. Step 3: Cross multiply
    1,947,486x = 4,206,012 × 4,206,012
  4. Step 4: Simplify right side
    1,947,486x = 17,690,536,944,144
  5. Step 5: Solve for x
    x = 17,690,536,944,144/1,947,486
  6. Step 6: Final answer
    x = 9,083,781.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.