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Finding the Third Proportional to 1,753,734 and 3,768,536

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Solution

The third proportional to 1,753,734 and 3,768,536 is: 8,098,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,734 : 3,768,536 = 3,768,536 : x
  2. Step 2: Convert to fraction form
    1,753,734/3,768,536 = 3,768,536/x
  3. Step 3: Cross multiply
    1,753,734x = 3,768,536 × 3,768,536
  4. Step 4: Simplify right side
    1,753,734x = 14,201,863,583,296
  5. Step 5: Solve for x
    x = 14,201,863,583,296/1,753,734
  6. Step 6: Final answer
    x = 8,098,071.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.