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Finding the Third Proportional to 4,166,940 and 6,261,506

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Solution

The third proportional to 4,166,940 and 6,261,506 is: 9,408,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166,940 : 6,261,506 = 6,261,506 : x
  2. Step 2: Convert to fraction form
    4,166,940/6,261,506 = 6,261,506/x
  3. Step 3: Cross multiply
    4,166,940x = 6,261,506 × 6,261,506
  4. Step 4: Simplify right side
    4,166,940x = 39,206,457,388,036
  5. Step 5: Solve for x
    x = 39,206,457,388,036/4,166,940
  6. Step 6: Final answer
    x = 9,408,932.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.