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Finding the Third Proportional to 784,418 and 1,693,252

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Solution

The third proportional to 784,418 and 1,693,252 is: 3,655,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,418 : 1,693,252 = 1,693,252 : x
  2. Step 2: Convert to fraction form
    784,418/1,693,252 = 1,693,252/x
  3. Step 3: Cross multiply
    784,418x = 1,693,252 × 1,693,252
  4. Step 4: Simplify right side
    784,418x = 2,867,102,335,504
  5. Step 5: Solve for x
    x = 2,867,102,335,504/784,418
  6. Step 6: Final answer
    x = 3,655,069.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.