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Finding the Third Proportional to 416,175,259 and 866,780,459

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Solution

The third proportional to 416,175,259 and 866,780,459 is: 1,805,269,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,175,259 : 866,780,459 = 866,780,459 : x
  2. Step 2: Convert to fraction form
    416,175,259/866,780,459 = 866,780,459/x
  3. Step 3: Cross multiply
    416,175,259x = 866,780,459 × 866,780,459
  4. Step 4: Simplify right side
    416,175,259x = 751,308,364,104,250,624
  5. Step 5: Solve for x
    x = 751,308,364,104,250,624/416,175,259
  6. Step 6: Final answer
    x = 1,805,269,169.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.