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Finding the Third Proportional to 2,341,224 and 3,422,412

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Solution

The third proportional to 2,341,224 and 3,422,412 is: 5,002,897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341,224 : 3,422,412 = 3,422,412 : x
  2. Step 2: Convert to fraction form
    2,341,224/3,422,412 = 3,422,412/x
  3. Step 3: Cross multiply
    2,341,224x = 3,422,412 × 3,422,412
  4. Step 4: Simplify right side
    2,341,224x = 11,712,903,897,744
  5. Step 5: Solve for x
    x = 11,712,903,897,744/2,341,224
  6. Step 6: Final answer
    x = 5,002,897.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.