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Finding the Third Proportional to 706,264.31 and 1,544,568.75

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Solution

The third proportional to 706,264.31 and 1,544,568.75 is: 3,377,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,264.31 : 1,544,568.75 = 1,544,568.75 : x
  2. Step 2: Convert to fraction form
    706,264.31/1,544,568.75 = 1,544,568.75/x
  3. Step 3: Cross multiply
    706,264.31x = 1,544,568.75 × 1,544,568.75
  4. Step 4: Simplify right side
    706,264.31x = 2,385,692,623,476.56
  5. Step 5: Solve for x
    x = 2,385,692,623,476.56/706,264.31
  6. Step 6: Final answer
    x = 3,377,903.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.