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Finding the Third Proportional to 761,950 and 1,674,317

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Solution

The third proportional to 761,950 and 1,674,317 is: 3,679,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,950 : 1,674,317 = 1,674,317 : x
  2. Step 2: Convert to fraction form
    761,950/1,674,317 = 1,674,317/x
  3. Step 3: Cross multiply
    761,950x = 1,674,317 × 1,674,317
  4. Step 4: Simplify right side
    761,950x = 2,803,337,416,489
  5. Step 5: Solve for x
    x = 2,803,337,416,489/761,950
  6. Step 6: Final answer
    x = 3,679,161.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.