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Finding the Third Proportional to 424,216 and 914,852

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Solution

The third proportional to 424,216 and 914,852 is: 1,972,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,216 : 914,852 = 914,852 : x
  2. Step 2: Convert to fraction form
    424,216/914,852 = 914,852/x
  3. Step 3: Cross multiply
    424,216x = 914,852 × 914,852
  4. Step 4: Simplify right side
    424,216x = 836,954,181,904
  5. Step 5: Solve for x
    x = 836,954,181,904/424,216
  6. Step 6: Final answer
    x = 1,972,943.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.