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Finding the Third Proportional to 2,196,168 and 4,742,256

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Solution

The third proportional to 2,196,168 and 4,742,256 is: 10,240,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,168 : 4,742,256 = 4,742,256 : x
  2. Step 2: Convert to fraction form
    2,196,168/4,742,256 = 4,742,256/x
  3. Step 3: Cross multiply
    2,196,168x = 4,742,256 × 4,742,256
  4. Step 4: Simplify right side
    2,196,168x = 22,488,991,969,536
  5. Step 5: Solve for x
    x = 22,488,991,969,536/2,196,168
  6. Step 6: Final answer
    x = 10,240,105.48

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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.