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Finding the Third Proportional to 534,460 and 859,614

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Solution

The third proportional to 534,460 and 859,614 is: 1,382,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,460 : 859,614 = 859,614 : x
  2. Step 2: Convert to fraction form
    534,460/859,614 = 859,614/x
  3. Step 3: Cross multiply
    534,460x = 859,614 × 859,614
  4. Step 4: Simplify right side
    534,460x = 738,936,228,996
  5. Step 5: Solve for x
    x = 738,936,228,996/534,460
  6. Step 6: Final answer
    x = 1,382,584.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.