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Finding the Third Proportional to 416,968 and 910,400

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Solution

The third proportional to 416,968 and 910,400 is: 1,987,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,968 : 910,400 = 910,400 : x
  2. Step 2: Convert to fraction form
    416,968/910,400 = 910,400/x
  3. Step 3: Cross multiply
    416,968x = 910,400 × 910,400
  4. Step 4: Simplify right side
    416,968x = 828,828,160,000
  5. Step 5: Solve for x
    x = 828,828,160,000/416,968
  6. Step 6: Final answer
    x = 1,987,750.04

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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.