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Finding the Third Proportional to 2,359,384 and 3,558,408

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Solution

The third proportional to 2,359,384 and 3,558,408 is: 5,366,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359,384 : 3,558,408 = 3,558,408 : x
  2. Step 2: Convert to fraction form
    2,359,384/3,558,408 = 3,558,408/x
  3. Step 3: Cross multiply
    2,359,384x = 3,558,408 × 3,558,408
  4. Step 4: Simplify right side
    2,359,384x = 12,662,267,494,464
  5. Step 5: Solve for x
    x = 12,662,267,494,464/2,359,384
  6. Step 6: Final answer
    x = 5,366,768.40

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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.