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Finding the Third Proportional to 1,919,814 and 4,201,212

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Solution

The third proportional to 1,919,814 and 4,201,212 is: 9,193,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,814 : 4,201,212 = 4,201,212 : x
  2. Step 2: Convert to fraction form
    1,919,814/4,201,212 = 4,201,212/x
  3. Step 3: Cross multiply
    1,919,814x = 4,201,212 × 4,201,212
  4. Step 4: Simplify right side
    1,919,814x = 17,650,182,268,944
  5. Step 5: Solve for x
    x = 17,650,182,268,944/1,919,814
  6. Step 6: Final answer
    x = 9,193,693.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.