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Finding the Third Proportional to 682,562.34 and 1,484,259.28

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Solution

The third proportional to 682,562.34 and 1,484,259.28 is: 3,227,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,562.34 : 1,484,259.28 = 1,484,259.28 : x
  2. Step 2: Convert to fraction form
    682,562.34/1,484,259.28 = 1,484,259.28/x
  3. Step 3: Cross multiply
    682,562.34x = 1,484,259.28 × 1,484,259.28
  4. Step 4: Simplify right side
    682,562.34x = 2,203,025,613,976.77
  5. Step 5: Solve for x
    x = 2,203,025,613,976.77/682,562.34
  6. Step 6: Final answer
    x = 3,227,581.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.