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Finding the Third Proportional to 822,987,459 and 1,253,775,262.50

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Solution

The third proportional to 822,987,459 and 1,253,775,262.50 is: 1,910,056,333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,987,459 : 1,253,775,262.50 = 1,253,775,262.50 : x
  2. Step 2: Convert to fraction form
    822,987,459/1,253,775,262.50 = 1,253,775,262.50/x
  3. Step 3: Cross multiply
    822,987,459x = 1,253,775,262.50 × 1,253,775,262.50
  4. Step 4: Simplify right side
    822,987,459x = 1,571,952,408,856,943,872
  5. Step 5: Solve for x
    x = 1,571,952,408,856,943,872/822,987,459
  6. Step 6: Final answer
    x = 1,910,056,333.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.