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Finding the Third Proportional to 1,234,049 and 1,864,184

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Solution

The third proportional to 1,234,049 and 1,864,184 is: 2,816,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,049 : 1,864,184 = 1,864,184 : x
  2. Step 2: Convert to fraction form
    1,234,049/1,864,184 = 1,864,184/x
  3. Step 3: Cross multiply
    1,234,049x = 1,864,184 × 1,864,184
  4. Step 4: Simplify right side
    1,234,049x = 3,475,181,985,856
  5. Step 5: Solve for x
    x = 3,475,181,985,856/1,234,049
  6. Step 6: Final answer
    x = 2,816,081.04

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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.