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Finding the Third Proportional to 472,544 and 1,028,032

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Solution

The third proportional to 472,544 and 1,028,032 is: 2,236,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,544 : 1,028,032 = 1,028,032 : x
  2. Step 2: Convert to fraction form
    472,544/1,028,032 = 1,028,032/x
  3. Step 3: Cross multiply
    472,544x = 1,028,032 × 1,028,032
  4. Step 4: Simplify right side
    472,544x = 1,056,849,793,024
  5. Step 5: Solve for x
    x = 1,056,849,793,024/472,544
  6. Step 6: Final answer
    x = 2,236,510.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.