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Finding the Third Proportional to 690,519,422 and 1,479,532,492

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Solution

The third proportional to 690,519,422 and 1,479,532,492 is: 3,170,101,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,519,422 : 1,479,532,492 = 1,479,532,492 : x
  2. Step 2: Convert to fraction form
    690,519,422/1,479,532,492 = 1,479,532,492/x
  3. Step 3: Cross multiply
    690,519,422x = 1,479,532,492 × 1,479,532,492
  4. Step 4: Simplify right side
    690,519,422x = 2,189,016,394,883,730,176
  5. Step 5: Solve for x
    x = 2,189,016,394,883,730,176/690,519,422
  6. Step 6: Final answer
    x = 3,170,101,122.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.