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Finding the Third Proportional to 825,223,556 and 1,234,567,641

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Solution

The third proportional to 825,223,556 and 1,234,567,641 is: 1,846,962,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,223,556 : 1,234,567,641 = 1,234,567,641 : x
  2. Step 2: Convert to fraction form
    825,223,556/1,234,567,641 = 1,234,567,641/x
  3. Step 3: Cross multiply
    825,223,556x = 1,234,567,641 × 1,234,567,641
  4. Step 4: Simplify right side
    825,223,556x = 1,524,157,260,204,304,896
  5. Step 5: Solve for x
    x = 1,524,157,260,204,304,896/825,223,556
  6. Step 6: Final answer
    x = 1,846,962,861.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.