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Finding the Third Proportional to 416,980 and 910,436

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Solution

The third proportional to 416,980 and 910,436 is: 1,987,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,980 : 910,436 = 910,436 : x
  2. Step 2: Convert to fraction form
    416,980/910,436 = 910,436/x
  3. Step 3: Cross multiply
    416,980x = 910,436 × 910,436
  4. Step 4: Simplify right side
    416,980x = 828,893,710,096
  5. Step 5: Solve for x
    x = 828,893,710,096/416,980
  6. Step 6: Final answer
    x = 1,987,850.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.