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Finding the Third Proportional to 859,597 and 1,163,268

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Solution

The third proportional to 859,597 and 1,163,268 is: 1,574,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,597 : 1,163,268 = 1,163,268 : x
  2. Step 2: Convert to fraction form
    859,597/1,163,268 = 1,163,268/x
  3. Step 3: Cross multiply
    859,597x = 1,163,268 × 1,163,268
  4. Step 4: Simplify right side
    859,597x = 1,353,192,439,824
  5. Step 5: Solve for x
    x = 1,353,192,439,824/859,597
  6. Step 6: Final answer
    x = 1,574,217.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.