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Finding the Third Proportional to 533,981 and 1,166,431

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Solution

The third proportional to 533,981 and 1,166,431 is: 2,547,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,981 : 1,166,431 = 1,166,431 : x
  2. Step 2: Convert to fraction form
    533,981/1,166,431 = 1,166,431/x
  3. Step 3: Cross multiply
    533,981x = 1,166,431 × 1,166,431
  4. Step 4: Simplify right side
    533,981x = 1,360,561,277,761
  5. Step 5: Solve for x
    x = 1,360,561,277,761/533,981
  6. Step 6: Final answer
    x = 2,547,958.22

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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.