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Finding the Third Proportional to 1,201,716 and 1,690,308

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Solution

The third proportional to 1,201,716 and 1,690,308 is: 2,377,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,716 : 1,690,308 = 1,690,308 : x
  2. Step 2: Convert to fraction form
    1,201,716/1,690,308 = 1,690,308/x
  3. Step 3: Cross multiply
    1,201,716x = 1,690,308 × 1,690,308
  4. Step 4: Simplify right side
    1,201,716x = 2,857,141,134,864
  5. Step 5: Solve for x
    x = 2,857,141,134,864/1,201,716
  6. Step 6: Final answer
    x = 2,377,551.05

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.