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Finding the Third Proportional to 2,686,672 and 5,676,584

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Solution

The third proportional to 2,686,672 and 5,676,584 is: 11,993,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686,672 : 5,676,584 = 5,676,584 : x
  2. Step 2: Convert to fraction form
    2,686,672/5,676,584 = 5,676,584/x
  3. Step 3: Cross multiply
    2,686,672x = 5,676,584 × 5,676,584
  4. Step 4: Simplify right side
    2,686,672x = 32,223,605,909,056
  5. Step 5: Solve for x
    x = 32,223,605,909,056/2,686,672
  6. Step 6: Final answer
    x = 11,993,874.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.