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Finding the Third Proportional to 1,102,209 and 1,686,037

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Solution

The third proportional to 1,102,209 and 1,686,037 is: 2,579,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,209 : 1,686,037 = 1,686,037 : x
  2. Step 2: Convert to fraction form
    1,102,209/1,686,037 = 1,686,037/x
  3. Step 3: Cross multiply
    1,102,209x = 1,686,037 × 1,686,037
  4. Step 4: Simplify right side
    1,102,209x = 2,842,720,765,369
  5. Step 5: Solve for x
    x = 2,842,720,765,369/1,102,209
  6. Step 6: Final answer
    x = 2,579,112.28

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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.