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Finding the Third Proportional to 2,948,762 and 4,450,195

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Solution

The third proportional to 2,948,762 and 4,450,195 is: 6,716,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,762 : 4,450,195 = 4,450,195 : x
  2. Step 2: Convert to fraction form
    2,948,762/4,450,195 = 4,450,195/x
  3. Step 3: Cross multiply
    2,948,762x = 4,450,195 × 4,450,195
  4. Step 4: Simplify right side
    2,948,762x = 19,804,235,538,025
  5. Step 5: Solve for x
    x = 19,804,235,538,025/2,948,762
  6. Step 6: Final answer
    x = 6,716,118.68

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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.