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Finding the Third Proportional to 1,615,464 and 2,534,408

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Solution

The third proportional to 1,615,464 and 2,534,408 is: 3,976,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,464 : 2,534,408 = 2,534,408 : x
  2. Step 2: Convert to fraction form
    1,615,464/2,534,408 = 2,534,408/x
  3. Step 3: Cross multiply
    1,615,464x = 2,534,408 × 2,534,408
  4. Step 4: Simplify right side
    1,615,464x = 6,423,223,910,464
  5. Step 5: Solve for x
    x = 6,423,223,910,464/1,615,464
  6. Step 6: Final answer
    x = 3,976,086.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.