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Finding the Third Proportional to 756,830 and 1,655,716

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Solution

The third proportional to 756,830 and 1,655,716 is: 3,622,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,830 : 1,655,716 = 1,655,716 : x
  2. Step 2: Convert to fraction form
    756,830/1,655,716 = 1,655,716/x
  3. Step 3: Cross multiply
    756,830x = 1,655,716 × 1,655,716
  4. Step 4: Simplify right side
    756,830x = 2,741,395,472,656
  5. Step 5: Solve for x
    x = 2,741,395,472,656/756,830
  6. Step 6: Final answer
    x = 3,622,207.73

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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.