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Finding the Third Proportional to 431,452 and 917,336

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Solution

The third proportional to 431,452 and 917,336 is: 1,950,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,452 : 917,336 = 917,336 : x
  2. Step 2: Convert to fraction form
    431,452/917,336 = 917,336/x
  3. Step 3: Cross multiply
    431,452x = 917,336 × 917,336
  4. Step 4: Simplify right side
    431,452x = 841,505,336,896
  5. Step 5: Solve for x
    x = 841,505,336,896/431,452
  6. Step 6: Final answer
    x = 1,950,403.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.