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Finding the Third Proportional to 723,735 and 1,543,653

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Solution

The third proportional to 723,735 and 1,543,653 is: 3,292,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,735 : 1,543,653 = 1,543,653 : x
  2. Step 2: Convert to fraction form
    723,735/1,543,653 = 1,543,653/x
  3. Step 3: Cross multiply
    723,735x = 1,543,653 × 1,543,653
  4. Step 4: Simplify right side
    723,735x = 2,382,864,584,409
  5. Step 5: Solve for x
    x = 2,382,864,584,409/723,735
  6. Step 6: Final answer
    x = 3,292,454.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.