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Finding the Third Proportional to 2,708,349 and 4,115,715

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Solution

The third proportional to 2,708,349 and 4,115,715 is: 6,254,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,349 : 4,115,715 = 4,115,715 : x
  2. Step 2: Convert to fraction form
    2,708,349/4,115,715 = 4,115,715/x
  3. Step 3: Cross multiply
    2,708,349x = 4,115,715 × 4,115,715
  4. Step 4: Simplify right side
    2,708,349x = 16,939,109,961,225
  5. Step 5: Solve for x
    x = 16,939,109,961,225/2,708,349
  6. Step 6: Final answer
    x = 6,254,404.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.