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Finding the Third Proportional to 467,211 and 1,005,498

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Solution

The third proportional to 467,211 and 1,005,498 is: 2,163,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,211 : 1,005,498 = 1,005,498 : x
  2. Step 2: Convert to fraction form
    467,211/1,005,498 = 1,005,498/x
  3. Step 3: Cross multiply
    467,211x = 1,005,498 × 1,005,498
  4. Step 4: Simplify right side
    467,211x = 1,011,026,228,004
  5. Step 5: Solve for x
    x = 1,011,026,228,004/467,211
  6. Step 6: Final answer
    x = 2,163,960.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.