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Finding the Third Proportional to 426,481,508 and 655,241,706

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Solution

The third proportional to 426,481,508 and 655,241,706 is: 1,006,706,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,481,508 : 655,241,706 = 655,241,706 : x
  2. Step 2: Convert to fraction form
    426,481,508/655,241,706 = 655,241,706/x
  3. Step 3: Cross multiply
    426,481,508x = 655,241,706 × 655,241,706
  4. Step 4: Simplify right side
    426,481,508x = 429,341,693,281,790,464
  5. Step 5: Solve for x
    x = 429,341,693,281,790,464/426,481,508
  6. Step 6: Final answer
    x = 1,006,706,469.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.