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Finding the Third Proportional to 2,948,202 and 6,193,620

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Solution

The third proportional to 2,948,202 and 6,193,620 is: 13,011,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,202 : 6,193,620 = 6,193,620 : x
  2. Step 2: Convert to fraction form
    2,948,202/6,193,620 = 6,193,620/x
  3. Step 3: Cross multiply
    2,948,202x = 6,193,620 × 6,193,620
  4. Step 4: Simplify right side
    2,948,202x = 38,360,928,704,400
  5. Step 5: Solve for x
    x = 38,360,928,704,400/2,948,202
  6. Step 6: Final answer
    x = 13,011,635.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.