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Finding the Third Proportional to 614,600 and 961,999

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Solution

The third proportional to 614,600 and 961,999 is: 1,505,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,600 : 961,999 = 961,999 : x
  2. Step 2: Convert to fraction form
    614,600/961,999 = 961,999/x
  3. Step 3: Cross multiply
    614,600x = 961,999 × 961,999
  4. Step 4: Simplify right side
    614,600x = 925,442,076,001
  5. Step 5: Solve for x
    x = 925,442,076,001/614,600
  6. Step 6: Final answer
    x = 1,505,763.22

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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.