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Finding the Third Proportional to 472,703 and 1,011,852

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Solution

The third proportional to 472,703 and 1,011,852 is: 2,165,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,703 : 1,011,852 = 1,011,852 : x
  2. Step 2: Convert to fraction form
    472,703/1,011,852 = 1,011,852/x
  3. Step 3: Cross multiply
    472,703x = 1,011,852 × 1,011,852
  4. Step 4: Simplify right side
    472,703x = 1,023,844,469,904
  5. Step 5: Solve for x
    x = 1,023,844,469,904/472,703
  6. Step 6: Final answer
    x = 2,165,936.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.