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Finding the Third Proportional to 766,214.60 and 1,625,827.33

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Solution

The third proportional to 766,214.60 and 1,625,827.33 is: 3,449,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,214.60 : 1,625,827.33 = 1,625,827.33 : x
  2. Step 2: Convert to fraction form
    766,214.60/1,625,827.33 = 1,625,827.33/x
  3. Step 3: Cross multiply
    766,214.60x = 1,625,827.33 × 1,625,827.33
  4. Step 4: Simplify right side
    766,214.60x = 2,643,314,516,755.26
  5. Step 5: Solve for x
    x = 2,643,314,516,755.26/766,214.60
  6. Step 6: Final answer
    x = 3,449,835.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.