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Finding the Third Proportional to 2,155,947 and 4,694,382

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Solution

The third proportional to 2,155,947 and 4,694,382 is: 10,221,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155,947 : 4,694,382 = 4,694,382 : x
  2. Step 2: Convert to fraction form
    2,155,947/4,694,382 = 4,694,382/x
  3. Step 3: Cross multiply
    2,155,947x = 4,694,382 × 4,694,382
  4. Step 4: Simplify right side
    2,155,947x = 22,037,222,361,924
  5. Step 5: Solve for x
    x = 22,037,222,361,924/2,155,947
  6. Step 6: Final answer
    x = 10,221,597.45

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