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Finding the Third Proportional to 459,628,616 and 982,958,224

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Solution

The third proportional to 459,628,616 and 982,958,224 is: 2,102,146,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,628,616 : 982,958,224 = 982,958,224 : x
  2. Step 2: Convert to fraction form
    459,628,616/982,958,224 = 982,958,224/x
  3. Step 3: Cross multiply
    459,628,616x = 982,958,224 × 982,958,224
  4. Step 4: Simplify right side
    459,628,616x = 966,206,870,129,234,176
  5. Step 5: Solve for x
    x = 966,206,870,129,234,176/459,628,616
  6. Step 6: Final answer
    x = 2,102,146,899.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.