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Finding the Third Proportional to 441,199,082 and 698,295,783

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Solution

The third proportional to 441,199,082 and 698,295,783 is: 1,105,208,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,199,082 : 698,295,783 = 698,295,783 : x
  2. Step 2: Convert to fraction form
    441,199,082/698,295,783 = 698,295,783/x
  3. Step 3: Cross multiply
    441,199,082x = 698,295,783 × 698,295,783
  4. Step 4: Simplify right side
    441,199,082x = 487,617,000,555,583,104
  5. Step 5: Solve for x
    x = 487,617,000,555,583,104/441,199,082
  6. Step 6: Final answer
    x = 1,105,208,556.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.