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Finding the Third Proportional to 1,843,614 and 3,760,402

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Solution

The third proportional to 1,843,614 and 3,760,402 is: 7,670,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,614 : 3,760,402 = 3,760,402 : x
  2. Step 2: Convert to fraction form
    1,843,614/3,760,402 = 3,760,402/x
  3. Step 3: Cross multiply
    1,843,614x = 3,760,402 × 3,760,402
  4. Step 4: Simplify right side
    1,843,614x = 14,140,623,201,604
  5. Step 5: Solve for x
    x = 14,140,623,201,604/1,843,614
  6. Step 6: Final answer
    x = 7,670,056.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.