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Finding the Third Proportional to 709,952 and 1,544,296

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Solution

The third proportional to 709,952 and 1,544,296 is: 3,359,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,952 : 1,544,296 = 1,544,296 : x
  2. Step 2: Convert to fraction form
    709,952/1,544,296 = 1,544,296/x
  3. Step 3: Cross multiply
    709,952x = 1,544,296 × 1,544,296
  4. Step 4: Simplify right side
    709,952x = 2,384,850,135,616
  5. Step 5: Solve for x
    x = 2,384,850,135,616/709,952
  6. Step 6: Final answer
    x = 3,359,170.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.