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Finding the Third Proportional to 632,889 and 1,289,277

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Solution

The third proportional to 632,889 and 1,289,277 is: 2,626,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,889 : 1,289,277 = 1,289,277 : x
  2. Step 2: Convert to fraction form
    632,889/1,289,277 = 1,289,277/x
  3. Step 3: Cross multiply
    632,889x = 1,289,277 × 1,289,277
  4. Step 4: Simplify right side
    632,889x = 1,662,235,182,729
  5. Step 5: Solve for x
    x = 1,662,235,182,729/632,889
  6. Step 6: Final answer
    x = 2,626,424.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.