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Finding the Third Proportional to 625,408 and 1,365,516

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Solution

The third proportional to 625,408 and 1,365,516 is: 2,981,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,408 : 1,365,516 = 1,365,516 : x
  2. Step 2: Convert to fraction form
    625,408/1,365,516 = 1,365,516/x
  3. Step 3: Cross multiply
    625,408x = 1,365,516 × 1,365,516
  4. Step 4: Simplify right side
    625,408x = 1,864,633,946,256
  5. Step 5: Solve for x
    x = 1,864,633,946,256/625,408
  6. Step 6: Final answer
    x = 2,981,468.01

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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.