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Finding the Third Proportional to 1,835,417 and 3,936,469

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Solution

The third proportional to 1,835,417 and 3,936,469 is: 8,442,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,417 : 3,936,469 = 3,936,469 : x
  2. Step 2: Convert to fraction form
    1,835,417/3,936,469 = 3,936,469/x
  3. Step 3: Cross multiply
    1,835,417x = 3,936,469 × 3,936,469
  4. Step 4: Simplify right side
    1,835,417x = 15,495,788,187,961
  5. Step 5: Solve for x
    x = 15,495,788,187,961/1,835,417
  6. Step 6: Final answer
    x = 8,442,652.64

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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.