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Finding the Third Proportional to 614,076.19 and 1,332,525.94

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Solution

The third proportional to 614,076.19 and 1,332,525.94 is: 2,891,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,076.19 : 1,332,525.94 = 1,332,525.94 : x
  2. Step 2: Convert to fraction form
    614,076.19/1,332,525.94 = 1,332,525.94/x
  3. Step 3: Cross multiply
    614,076.19x = 1,332,525.94 × 1,332,525.94
  4. Step 4: Simplify right side
    614,076.19x = 1,775,625,374,110.25
  5. Step 5: Solve for x
    x = 1,775,625,374,110.25/614,076.19
  6. Step 6: Final answer
    x = 2,891,539.21

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Why These Related Problems?

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