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Finding the Third Proportional to 1,738,714.88 and 3,734,523.38

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Solution

The third proportional to 1,738,714.88 and 3,734,523.38 is: 8,021,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,714.88 : 3,734,523.38 = 3,734,523.38 : x
  2. Step 2: Convert to fraction form
    1,738,714.88/3,734,523.38 = 3,734,523.38/x
  3. Step 3: Cross multiply
    1,738,714.88x = 3,734,523.38 × 3,734,523.38
  4. Step 4: Simplify right side
    1,738,714.88x = 13,946,664,838,421.39
  5. Step 5: Solve for x
    x = 13,946,664,838,421.39/1,738,714.88
  6. Step 6: Final answer
    x = 8,021,248.93

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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.