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Finding the Third Proportional to 1,123,535 and 1,589,768

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Solution

The third proportional to 1,123,535 and 1,589,768 is: 2,249,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,535 : 1,589,768 = 1,589,768 : x
  2. Step 2: Convert to fraction form
    1,123,535/1,589,768 = 1,589,768/x
  3. Step 3: Cross multiply
    1,123,535x = 1,589,768 × 1,589,768
  4. Step 4: Simplify right side
    1,123,535x = 2,527,362,293,824
  5. Step 5: Solve for x
    x = 2,527,362,293,824/1,123,535
  6. Step 6: Final answer
    x = 2,249,473.58

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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.