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Finding the Third Proportional to 4,497,747 and 6,577,932

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Solution

The third proportional to 4,497,747 and 6,577,932 is: 9,620,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497,747 : 6,577,932 = 6,577,932 : x
  2. Step 2: Convert to fraction form
    4,497,747/6,577,932 = 6,577,932/x
  3. Step 3: Cross multiply
    4,497,747x = 6,577,932 × 6,577,932
  4. Step 4: Simplify right side
    4,497,747x = 43,269,189,396,624
  5. Step 5: Solve for x
    x = 43,269,189,396,624/4,497,747
  6. Step 6: Final answer
    x = 9,620,191.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.