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Finding the Third Proportional to 467,566 and 1,008,101

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Solution

The third proportional to 467,566 and 1,008,101 is: 2,173,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,566 : 1,008,101 = 1,008,101 : x
  2. Step 2: Convert to fraction form
    467,566/1,008,101 = 1,008,101/x
  3. Step 3: Cross multiply
    467,566x = 1,008,101 × 1,008,101
  4. Step 4: Simplify right side
    467,566x = 1,016,267,626,201
  5. Step 5: Solve for x
    x = 1,016,267,626,201/467,566
  6. Step 6: Final answer
    x = 2,173,527.64

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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.