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Finding the Third Proportional to 991,867.50 and 1,396,765.13

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Solution

The third proportional to 991,867.50 and 1,396,765.13 is: 1,966,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,867.50 : 1,396,765.13 = 1,396,765.13 : x
  2. Step 2: Convert to fraction form
    991,867.50/1,396,765.13 = 1,396,765.13/x
  3. Step 3: Cross multiply
    991,867.50x = 1,396,765.13 × 1,396,765.13
  4. Step 4: Simplify right side
    991,867.50x = 1,950,952,814,416.27
  5. Step 5: Solve for x
    x = 1,950,952,814,416.27/991,867.50
  6. Step 6: Final answer
    x = 1,966,949.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.