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Finding the Third Proportional to 606,985,242 and 1,432,394,643

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Solution

The third proportional to 606,985,242 and 1,432,394,643 is: 3,380,237,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,985,242 : 1,432,394,643 = 1,432,394,643 : x
  2. Step 2: Convert to fraction form
    606,985,242/1,432,394,643 = 1,432,394,643/x
  3. Step 3: Cross multiply
    606,985,242x = 1,432,394,643 × 1,432,394,643
  4. Step 4: Simplify right side
    606,985,242x = 2,051,754,413,295,097,344
  5. Step 5: Solve for x
    x = 2,051,754,413,295,097,344/606,985,242
  6. Step 6: Final answer
    x = 3,380,237,724.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.