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Finding the Third Proportional to 1,742,229 and 3,751,374

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Solution

The third proportional to 1,742,229 and 3,751,374 is: 8,077,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,229 : 3,751,374 = 3,751,374 : x
  2. Step 2: Convert to fraction form
    1,742,229/3,751,374 = 3,751,374/x
  3. Step 3: Cross multiply
    1,742,229x = 3,751,374 × 3,751,374
  4. Step 4: Simplify right side
    1,742,229x = 14,072,806,887,876
  5. Step 5: Solve for x
    x = 14,072,806,887,876/1,742,229
  6. Step 6: Final answer
    x = 8,077,472.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.