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Finding the Third Proportional to 2,706,508 and 6,411,814

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Solution

The third proportional to 2,706,508 and 6,411,814 is: 15,189,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,508 : 6,411,814 = 6,411,814 : x
  2. Step 2: Convert to fraction form
    2,706,508/6,411,814 = 6,411,814/x
  3. Step 3: Cross multiply
    2,706,508x = 6,411,814 × 6,411,814
  4. Step 4: Simplify right side
    2,706,508x = 41,111,358,770,596
  5. Step 5: Solve for x
    x = 41,111,358,770,596/2,706,508
  6. Step 6: Final answer
    x = 15,189,816.09

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.