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Finding the Third Proportional to 473,148 and 1,008,234

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Solution

The third proportional to 473,148 and 1,008,234 is: 2,148,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,148 : 1,008,234 = 1,008,234 : x
  2. Step 2: Convert to fraction form
    473,148/1,008,234 = 1,008,234/x
  3. Step 3: Cross multiply
    473,148x = 1,008,234 × 1,008,234
  4. Step 4: Simplify right side
    473,148x = 1,016,535,798,756
  5. Step 5: Solve for x
    x = 1,016,535,798,756/473,148
  6. Step 6: Final answer
    x = 2,148,452.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.