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Finding the Third Proportional to 2,414,428 and 5,027,196

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Solution

The third proportional to 2,414,428 and 5,027,196 is: 10,467,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,428 : 5,027,196 = 5,027,196 : x
  2. Step 2: Convert to fraction form
    2,414,428/5,027,196 = 5,027,196/x
  3. Step 3: Cross multiply
    2,414,428x = 5,027,196 × 5,027,196
  4. Step 4: Simplify right side
    2,414,428x = 25,272,699,622,416
  5. Step 5: Solve for x
    x = 25,272,699,622,416/2,414,428
  6. Step 6: Final answer
    x = 10,467,365.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.