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Finding the Third Proportional to 2,185,204 and 4,768,904

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Solution

The third proportional to 2,185,204 and 4,768,904 is: 10,407,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185,204 : 4,768,904 = 4,768,904 : x
  2. Step 2: Convert to fraction form
    2,185,204/4,768,904 = 4,768,904/x
  3. Step 3: Cross multiply
    2,185,204x = 4,768,904 × 4,768,904
  4. Step 4: Simplify right side
    2,185,204x = 22,742,445,361,216
  5. Step 5: Solve for x
    x = 22,742,445,361,216/2,185,204
  6. Step 6: Final answer
    x = 10,407,470.13

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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.