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Finding the Third Proportional to 851,782 and 1,728,594

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Solution

The third proportional to 851,782 and 1,728,594 is: 3,507,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,782 : 1,728,594 = 1,728,594 : x
  2. Step 2: Convert to fraction form
    851,782/1,728,594 = 1,728,594/x
  3. Step 3: Cross multiply
    851,782x = 1,728,594 × 1,728,594
  4. Step 4: Simplify right side
    851,782x = 2,988,037,216,836
  5. Step 5: Solve for x
    x = 2,988,037,216,836/851,782
  6. Step 6: Final answer
    x = 3,507,983.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.