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Finding the Third Proportional to 630,438 and 1,368,039

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Solution

The third proportional to 630,438 and 1,368,039 is: 2,968,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,438 : 1,368,039 = 1,368,039 : x
  2. Step 2: Convert to fraction form
    630,438/1,368,039 = 1,368,039/x
  3. Step 3: Cross multiply
    630,438x = 1,368,039 × 1,368,039
  4. Step 4: Simplify right side
    630,438x = 1,871,530,705,521
  5. Step 5: Solve for x
    x = 1,871,530,705,521/630,438
  6. Step 6: Final answer
    x = 2,968,619.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.