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Finding the Third Proportional to 426,375 and 917,266

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Solution

The third proportional to 426,375 and 917,266 is: 1,973,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,375 : 917,266 = 917,266 : x
  2. Step 2: Convert to fraction form
    426,375/917,266 = 917,266/x
  3. Step 3: Cross multiply
    426,375x = 917,266 × 917,266
  4. Step 4: Simplify right side
    426,375x = 841,376,914,756
  5. Step 5: Solve for x
    x = 841,376,914,756/426,375
  6. Step 6: Final answer
    x = 1,973,326.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.