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Finding the Third Proportional to 614,991 and 1,351,059

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Solution

The third proportional to 614,991 and 1,351,059 is: 2,968,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,991 : 1,351,059 = 1,351,059 : x
  2. Step 2: Convert to fraction form
    614,991/1,351,059 = 1,351,059/x
  3. Step 3: Cross multiply
    614,991x = 1,351,059 × 1,351,059
  4. Step 4: Simplify right side
    614,991x = 1,825,360,421,481
  5. Step 5: Solve for x
    x = 1,825,360,421,481/614,991
  6. Step 6: Final answer
    x = 2,968,109.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.