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Finding the Third Proportional to 625,916 and 1,351,594

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Solution

The third proportional to 625,916 and 1,351,594 is: 2,918,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,916 : 1,351,594 = 1,351,594 : x
  2. Step 2: Convert to fraction form
    625,916/1,351,594 = 1,351,594/x
  3. Step 3: Cross multiply
    625,916x = 1,351,594 × 1,351,594
  4. Step 4: Simplify right side
    625,916x = 1,826,806,340,836
  5. Step 5: Solve for x
    x = 1,826,806,340,836/625,916
  6. Step 6: Final answer
    x = 2,918,612.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.