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Finding the Third Proportional to 2,014,251.75 and 3,925,714.50

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Solution

The third proportional to 2,014,251.75 and 3,925,714.50 is: 7,651,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,251.75 : 3,925,714.50 = 3,925,714.50 : x
  2. Step 2: Convert to fraction form
    2,014,251.75/3,925,714.50 = 3,925,714.50/x
  3. Step 3: Cross multiply
    2,014,251.75x = 3,925,714.50 × 3,925,714.50
  4. Step 4: Simplify right side
    2,014,251.75x = 15,411,234,335,510.25
  5. Step 5: Solve for x
    x = 15,411,234,335,510.25/2,014,251.75
  6. Step 6: Final answer
    x = 7,651,096.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.