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Finding the Third Proportional to 411,334 and 901,452

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Solution

The third proportional to 411,334 and 901,452 is: 1,975,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,334 : 901,452 = 901,452 : x
  2. Step 2: Convert to fraction form
    411,334/901,452 = 901,452/x
  3. Step 3: Cross multiply
    411,334x = 901,452 × 901,452
  4. Step 4: Simplify right side
    411,334x = 812,615,708,304
  5. Step 5: Solve for x
    x = 812,615,708,304/411,334
  6. Step 6: Final answer
    x = 1,975,561.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.