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Finding the Third Proportional to 583,669 and 1,282,251

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Solution

The third proportional to 583,669 and 1,282,251 is: 2,816,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,669 : 1,282,251 = 1,282,251 : x
  2. Step 2: Convert to fraction form
    583,669/1,282,251 = 1,282,251/x
  3. Step 3: Cross multiply
    583,669x = 1,282,251 × 1,282,251
  4. Step 4: Simplify right side
    583,669x = 1,644,167,627,001
  5. Step 5: Solve for x
    x = 1,644,167,627,001/583,669
  6. Step 6: Final answer
    x = 2,816,952.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.