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Finding the Third Proportional to 479,221,481 and 684,819,961

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Solution

The third proportional to 479,221,481 and 684,819,961 is: 978,625,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,221,481 : 684,819,961 = 684,819,961 : x
  2. Step 2: Convert to fraction form
    479,221,481/684,819,961 = 684,819,961/x
  3. Step 3: Cross multiply
    479,221,481x = 684,819,961 × 684,819,961
  4. Step 4: Simplify right side
    479,221,481x = 468,978,378,984,041,536
  5. Step 5: Solve for x
    x = 468,978,378,984,041,536/479,221,481
  6. Step 6: Final answer
    x = 978,625,536.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.