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Finding the Third Proportional to 2,100,056 and 4,487,967

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Solution

The third proportional to 2,100,056 and 4,487,967 is: 9,591,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,056 : 4,487,967 = 4,487,967 : x
  2. Step 2: Convert to fraction form
    2,100,056/4,487,967 = 4,487,967/x
  3. Step 3: Cross multiply
    2,100,056x = 4,487,967 × 4,487,967
  4. Step 4: Simplify right side
    2,100,056x = 20,141,847,793,089
  5. Step 5: Solve for x
    x = 20,141,847,793,089/2,100,056
  6. Step 6: Final answer
    x = 9,591,100.33

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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.