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Finding the Third Proportional to 467,503 and 1,008,816

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Solution

The third proportional to 467,503 and 1,008,816 is: 2,176,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,503 : 1,008,816 = 1,008,816 : x
  2. Step 2: Convert to fraction form
    467,503/1,008,816 = 1,008,816/x
  3. Step 3: Cross multiply
    467,503x = 1,008,816 × 1,008,816
  4. Step 4: Simplify right side
    467,503x = 1,017,709,721,856
  5. Step 5: Solve for x
    x = 1,017,709,721,856/467,503
  6. Step 6: Final answer
    x = 2,176,905.22

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Why These Related Problems?

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