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Finding the Third Proportional to 601,017 and 859,399

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Solution

The third proportional to 601,017 and 859,399 is: 1,228,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,017 : 859,399 = 859,399 : x
  2. Step 2: Convert to fraction form
    601,017/859,399 = 859,399/x
  3. Step 3: Cross multiply
    601,017x = 859,399 × 859,399
  4. Step 4: Simplify right side
    601,017x = 738,566,641,201
  5. Step 5: Solve for x
    x = 738,566,641,201/601,017
  6. Step 6: Final answer
    x = 1,228,861.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.