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Finding the Third Proportional to 467,205 and 1,005,486

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Solution

The third proportional to 467,205 and 1,005,486 is: 2,163,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,205 : 1,005,486 = 1,005,486 : x
  2. Step 2: Convert to fraction form
    467,205/1,005,486 = 1,005,486/x
  3. Step 3: Cross multiply
    467,205x = 1,005,486 × 1,005,486
  4. Step 4: Simplify right side
    467,205x = 1,011,002,096,196
  5. Step 5: Solve for x
    x = 1,011,002,096,196/467,205
  6. Step 6: Final answer
    x = 2,163,936.81

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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.