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Finding the Third Proportional to 2,009,744 and 4,310,656

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Solution

The third proportional to 2,009,744 and 4,310,656 is: 9,245,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009,744 : 4,310,656 = 4,310,656 : x
  2. Step 2: Convert to fraction form
    2,009,744/4,310,656 = 4,310,656/x
  3. Step 3: Cross multiply
    2,009,744x = 4,310,656 × 4,310,656
  4. Step 4: Simplify right side
    2,009,744x = 18,581,755,150,336
  5. Step 5: Solve for x
    x = 18,581,755,150,336/2,009,744
  6. Step 6: Final answer
    x = 9,245,831.88

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