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Finding the Third Proportional to 614,381 and 961,667

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Solution

The third proportional to 614,381 and 961,667 is: 1,505,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,381 : 961,667 = 961,667 : x
  2. Step 2: Convert to fraction form
    614,381/961,667 = 961,667/x
  3. Step 3: Cross multiply
    614,381x = 961,667 × 961,667
  4. Step 4: Simplify right side
    614,381x = 924,803,418,889
  5. Step 5: Solve for x
    x = 924,803,418,889/614,381
  6. Step 6: Final answer
    x = 1,505,260.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.