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Finding the Third Proportional to 2,948,742 and 4,450,167

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Solution

The third proportional to 2,948,742 and 4,450,167 is: 6,716,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,742 : 4,450,167 = 4,450,167 : x
  2. Step 2: Convert to fraction form
    2,948,742/4,450,167 = 4,450,167/x
  3. Step 3: Cross multiply
    2,948,742x = 4,450,167 × 4,450,167
  4. Step 4: Simplify right side
    2,948,742x = 19,803,986,327,889
  5. Step 5: Solve for x
    x = 19,803,986,327,889/2,948,742
  6. Step 6: Final answer
    x = 6,716,079.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.