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Finding the Third Proportional to 625,014 and 1,294,338

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Solution

The third proportional to 625,014 and 1,294,338 is: 2,680,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,014 : 1,294,338 = 1,294,338 : x
  2. Step 2: Convert to fraction form
    625,014/1,294,338 = 1,294,338/x
  3. Step 3: Cross multiply
    625,014x = 1,294,338 × 1,294,338
  4. Step 4: Simplify right side
    625,014x = 1,675,310,858,244
  5. Step 5: Solve for x
    x = 1,675,310,858,244/625,014
  6. Step 6: Final answer
    x = 2,680,437.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.