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Finding the Third Proportional to 2,187,847.13 and 3,461,563.69

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Solution

The third proportional to 2,187,847.13 and 3,461,563.69 is: 5,476,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187,847.13 : 3,461,563.69 = 3,461,563.69 : x
  2. Step 2: Convert to fraction form
    2,187,847.13/3,461,563.69 = 3,461,563.69/x
  3. Step 3: Cross multiply
    2,187,847.13x = 3,461,563.69 × 3,461,563.69
  4. Step 4: Simplify right side
    2,187,847.13x = 11,982,423,162,618.60
  5. Step 5: Solve for x
    x = 11,982,423,162,618.60/2,187,847.13
  6. Step 6: Final answer
    x = 5,476,810.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.