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Finding the Third Proportional to 2,189,473.50 and 3,486,576

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Solution

The third proportional to 2,189,473.50 and 3,486,576 is: 5,552,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189,473.50 : 3,486,576 = 3,486,576 : x
  2. Step 2: Convert to fraction form
    2,189,473.50/3,486,576 = 3,486,576/x
  3. Step 3: Cross multiply
    2,189,473.50x = 3,486,576 × 3,486,576
  4. Step 4: Simplify right side
    2,189,473.50x = 12,156,212,203,776
  5. Step 5: Solve for x
    x = 12,156,212,203,776/2,189,473.50
  6. Step 6: Final answer
    x = 5,552,116.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.