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Finding the Third Proportional to 416,308 and 982,426

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Solution

The third proportional to 416,308 and 982,426 is: 2,318,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,308 : 982,426 = 982,426 : x
  2. Step 2: Convert to fraction form
    416,308/982,426 = 982,426/x
  3. Step 3: Cross multiply
    416,308x = 982,426 × 982,426
  4. Step 4: Simplify right side
    416,308x = 965,160,845,476
  5. Step 5: Solve for x
    x = 965,160,845,476/416,308
  6. Step 6: Final answer
    x = 2,318,381.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.