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Finding the Third Proportional to 404,742 and 888,216

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Solution

The third proportional to 404,742 and 888,216 is: 1,949,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,742 : 888,216 = 888,216 : x
  2. Step 2: Convert to fraction form
    404,742/888,216 = 888,216/x
  3. Step 3: Cross multiply
    404,742x = 888,216 × 888,216
  4. Step 4: Simplify right side
    404,742x = 788,927,662,656
  5. Step 5: Solve for x
    x = 788,927,662,656/404,742
  6. Step 6: Final answer
    x = 1,949,211.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.