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Finding the Third Proportional to 802,930 and 1,744,524

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Solution

The third proportional to 802,930 and 1,744,524 is: 3,790,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,930 : 1,744,524 = 1,744,524 : x
  2. Step 2: Convert to fraction form
    802,930/1,744,524 = 1,744,524/x
  3. Step 3: Cross multiply
    802,930x = 1,744,524 × 1,744,524
  4. Step 4: Simplify right side
    802,930x = 3,043,363,986,576
  5. Step 5: Solve for x
    x = 3,043,363,986,576/802,930
  6. Step 6: Final answer
    x = 3,790,322.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.