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Finding the Third Proportional to 2,286,368 and 4,876,408

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Solution

The third proportional to 2,286,368 and 4,876,408 is: 10,400,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,368 : 4,876,408 = 4,876,408 : x
  2. Step 2: Convert to fraction form
    2,286,368/4,876,408 = 4,876,408/x
  3. Step 3: Cross multiply
    2,286,368x = 4,876,408 × 4,876,408
  4. Step 4: Simplify right side
    2,286,368x = 23,779,354,982,464
  5. Step 5: Solve for x
    x = 23,779,354,982,464/2,286,368
  6. Step 6: Final answer
    x = 10,400,493.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.