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Finding the Third Proportional to 1,664,518 and 2,514,269

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Solution

The third proportional to 1,664,518 and 2,514,269 is: 3,797,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,518 : 2,514,269 = 2,514,269 : x
  2. Step 2: Convert to fraction form
    1,664,518/2,514,269 = 2,514,269/x
  3. Step 3: Cross multiply
    1,664,518x = 2,514,269 × 2,514,269
  4. Step 4: Simplify right side
    1,664,518x = 6,321,548,604,361
  5. Step 5: Solve for x
    x = 6,321,548,604,361/1,664,518
  6. Step 6: Final answer
    x = 3,797,825.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.