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Finding the Third Proportional to 651,350.25 and 1,414,107

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Solution

The third proportional to 651,350.25 and 1,414,107 is: 3,070,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,350.25 : 1,414,107 = 1,414,107 : x
  2. Step 2: Convert to fraction form
    651,350.25/1,414,107 = 1,414,107/x
  3. Step 3: Cross multiply
    651,350.25x = 1,414,107 × 1,414,107
  4. Step 4: Simplify right side
    651,350.25x = 1,999,698,607,449
  5. Step 5: Solve for x
    x = 1,999,698,607,449/651,350.25
  6. Step 6: Final answer
    x = 3,070,081.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.