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Finding the Third Proportional to 487,744 and 1,064,864

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Solution

The third proportional to 487,744 and 1,064,864 is: 2,324,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,744 : 1,064,864 = 1,064,864 : x
  2. Step 2: Convert to fraction form
    487,744/1,064,864 = 1,064,864/x
  3. Step 3: Cross multiply
    487,744x = 1,064,864 × 1,064,864
  4. Step 4: Simplify right side
    487,744x = 1,133,935,338,496
  5. Step 5: Solve for x
    x = 1,133,935,338,496/487,744
  6. Step 6: Final answer
    x = 2,324,857.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.