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Finding the Third Proportional to 1,102,203 and 1,686,028

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Solution

The third proportional to 1,102,203 and 1,686,028 is: 2,579,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,203 : 1,686,028 = 1,686,028 : x
  2. Step 2: Convert to fraction form
    1,102,203/1,686,028 = 1,686,028/x
  3. Step 3: Cross multiply
    1,102,203x = 1,686,028 × 1,686,028
  4. Step 4: Simplify right side
    1,102,203x = 2,842,690,416,784
  5. Step 5: Solve for x
    x = 2,842,690,416,784/1,102,203
  6. Step 6: Final answer
    x = 2,579,098.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.