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Finding the Third Proportional to 773,133.19 and 1,664,241.19

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Solution

The third proportional to 773,133.19 and 1,664,241.19 is: 3,582,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,133.19 : 1,664,241.19 = 1,664,241.19 : x
  2. Step 2: Convert to fraction form
    773,133.19/1,664,241.19 = 1,664,241.19/x
  3. Step 3: Cross multiply
    773,133.19x = 1,664,241.19 × 1,664,241.19
  4. Step 4: Simplify right side
    773,133.19x = 2,769,698,730,171.41
  5. Step 5: Solve for x
    x = 2,769,698,730,171.41/773,133.19
  6. Step 6: Final answer
    x = 3,582,434.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.