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Finding the Third Proportional to 1,005,272 and 1,517,184

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Solution

The third proportional to 1,005,272 and 1,517,184 is: 2,289,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,272 : 1,517,184 = 1,517,184 : x
  2. Step 2: Convert to fraction form
    1,005,272/1,517,184 = 1,517,184/x
  3. Step 3: Cross multiply
    1,005,272x = 1,517,184 × 1,517,184
  4. Step 4: Simplify right side
    1,005,272x = 2,301,847,289,856
  5. Step 5: Solve for x
    x = 2,301,847,289,856/1,005,272
  6. Step 6: Final answer
    x = 2,289,775.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.