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Finding the Third Proportional to 563,663.81 and 1,182,716.44

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Solution

The third proportional to 563,663.81 and 1,182,716.44 is: 2,481,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,663.81 : 1,182,716.44 = 1,182,716.44 : x
  2. Step 2: Convert to fraction form
    563,663.81/1,182,716.44 = 1,182,716.44/x
  3. Step 3: Cross multiply
    563,663.81x = 1,182,716.44 × 1,182,716.44
  4. Step 4: Simplify right side
    563,663.81x = 1,398,818,171,532.69
  5. Step 5: Solve for x
    x = 1,398,818,171,532.69/563,663.81
  6. Step 6: Final answer
    x = 2,481,653.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.