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Finding the Third Proportional to 557,620,730 and 843,614,598

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Solution

The third proportional to 557,620,730 and 843,614,598 is: 1,276,289,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,620,730 : 843,614,598 = 843,614,598 : x
  2. Step 2: Convert to fraction form
    557,620,730/843,614,598 = 843,614,598/x
  3. Step 3: Cross multiply
    557,620,730x = 843,614,598 × 843,614,598
  4. Step 4: Simplify right side
    557,620,730x = 711,685,589,958,701,568
  5. Step 5: Solve for x
    x = 711,685,589,958,701,568/557,620,730
  6. Step 6: Final answer
    x = 1,276,289,692.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.