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Finding the Third Proportional to 402,795,129 and 621,986,169

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Solution

The third proportional to 402,795,129 and 621,986,169 is: 960,455,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,795,129 : 621,986,169 = 621,986,169 : x
  2. Step 2: Convert to fraction form
    402,795,129/621,986,169 = 621,986,169/x
  3. Step 3: Cross multiply
    402,795,129x = 621,986,169 × 621,986,169
  4. Step 4: Simplify right side
    402,795,129x = 386,866,794,427,296,576
  5. Step 5: Solve for x
    x = 386,866,794,427,296,576/402,795,129
  6. Step 6: Final answer
    x = 960,455,493.56

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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.