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Finding the Third Proportional to 472,032 and 1,019,184

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Solution

The third proportional to 472,032 and 1,019,184 is: 2,200,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,032 : 1,019,184 = 1,019,184 : x
  2. Step 2: Convert to fraction form
    472,032/1,019,184 = 1,019,184/x
  3. Step 3: Cross multiply
    472,032x = 1,019,184 × 1,019,184
  4. Step 4: Simplify right side
    472,032x = 1,038,736,025,856
  5. Step 5: Solve for x
    x = 1,038,736,025,856/472,032
  6. Step 6: Final answer
    x = 2,200,562.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.