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Finding the Third Proportional to 986,776.17 and 1,476,147.80

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Solution

The third proportional to 986,776.17 and 1,476,147.80 is: 2,208,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,776.17 : 1,476,147.80 = 1,476,147.80 : x
  2. Step 2: Convert to fraction form
    986,776.17/1,476,147.80 = 1,476,147.80/x
  3. Step 3: Cross multiply
    986,776.17x = 1,476,147.80 × 1,476,147.80
  4. Step 4: Simplify right side
    986,776.17x = 2,179,012,318,218.92
  5. Step 5: Solve for x
    x = 2,179,012,318,218.92/986,776.17
  6. Step 6: Final answer
    x = 2,208,213.35

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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.