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Finding the Third Proportional to 404,309,106 and 621,068,241

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Solution

The third proportional to 404,309,106 and 621,068,241 is: 954,036,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,309,106 : 621,068,241 = 621,068,241 : x
  2. Step 2: Convert to fraction form
    404,309,106/621,068,241 = 621,068,241/x
  3. Step 3: Cross multiply
    404,309,106x = 621,068,241 × 621,068,241
  4. Step 4: Simplify right side
    404,309,106x = 385,725,759,978,834,112
  5. Step 5: Solve for x
    x = 385,725,759,978,834,112/404,309,106
  6. Step 6: Final answer
    x = 954,036,785.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.