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Finding the Third Proportional to 615,002 and 1,351,077

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Solution

The third proportional to 615,002 and 1,351,077 is: 2,968,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,002 : 1,351,077 = 1,351,077 : x
  2. Step 2: Convert to fraction form
    615,002/1,351,077 = 1,351,077/x
  3. Step 3: Cross multiply
    615,002x = 1,351,077 × 1,351,077
  4. Step 4: Simplify right side
    615,002x = 1,825,409,059,929
  5. Step 5: Solve for x
    x = 1,825,409,059,929/615,002
  6. Step 6: Final answer
    x = 2,968,135.16

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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.