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Finding the Third Proportional to 806,298 and 1,165,524

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Solution

The third proportional to 806,298 and 1,165,524 is: 1,684,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,298 : 1,165,524 = 1,165,524 : x
  2. Step 2: Convert to fraction form
    806,298/1,165,524 = 1,165,524/x
  3. Step 3: Cross multiply
    806,298x = 1,165,524 × 1,165,524
  4. Step 4: Simplify right side
    806,298x = 1,358,446,194,576
  5. Step 5: Solve for x
    x = 1,358,446,194,576/806,298
  6. Step 6: Final answer
    x = 1,684,794.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.