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Finding the Third Proportional to 811,359.75 and 1,284,768

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Solution

The third proportional to 811,359.75 and 1,284,768 is: 2,034,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,359.75 : 1,284,768 = 1,284,768 : x
  2. Step 2: Convert to fraction form
    811,359.75/1,284,768 = 1,284,768/x
  3. Step 3: Cross multiply
    811,359.75x = 1,284,768 × 1,284,768
  4. Step 4: Simplify right side
    811,359.75x = 1,650,628,813,824
  5. Step 5: Solve for x
    x = 1,650,628,813,824/811,359.75
  6. Step 6: Final answer
    x = 2,034,398.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.