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Finding the Third Proportional to 459,628,608 and 982,958,208

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Solution

The third proportional to 459,628,608 and 982,958,208 is: 2,102,146,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,628,608 : 982,958,208 = 982,958,208 : x
  2. Step 2: Convert to fraction form
    459,628,608/982,958,208 = 982,958,208/x
  3. Step 3: Cross multiply
    459,628,608x = 982,958,208 × 982,958,208
  4. Step 4: Simplify right side
    459,628,608x = 966,206,838,674,571,264
  5. Step 5: Solve for x
    x = 966,206,838,674,571,264/459,628,608
  6. Step 6: Final answer
    x = 2,102,146,867.84

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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.