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Finding the Third Proportional to 644,042,604 and 1,414,608,504

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Solution

The third proportional to 644,042,604 and 1,414,608,504 is: 3,107,119,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,042,604 : 1,414,608,504 = 1,414,608,504 : x
  2. Step 2: Convert to fraction form
    644,042,604/1,414,608,504 = 1,414,608,504/x
  3. Step 3: Cross multiply
    644,042,604x = 1,414,608,504 × 1,414,608,504
  4. Step 4: Simplify right side
    644,042,604x = 2,001,117,219,589,117,952
  5. Step 5: Solve for x
    x = 2,001,117,219,589,117,952/644,042,604
  6. Step 6: Final answer
    x = 3,107,119,322.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.