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Finding the Third Proportional to 2,878,896 and 6,156,408

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Solution

The third proportional to 2,878,896 and 6,156,408 is: 13,165,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,896 : 6,156,408 = 6,156,408 : x
  2. Step 2: Convert to fraction form
    2,878,896/6,156,408 = 6,156,408/x
  3. Step 3: Cross multiply
    2,878,896x = 6,156,408 × 6,156,408
  4. Step 4: Simplify right side
    2,878,896x = 37,901,359,462,464
  5. Step 5: Solve for x
    x = 37,901,359,462,464/2,878,896
  6. Step 6: Final answer
    x = 13,165,240.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.