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Finding the Third Proportional to 408,046,333 and 885,370,983

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Solution

The third proportional to 408,046,333 and 885,370,983 is: 1,921,060,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,333 : 885,370,983 = 885,370,983 : x
  2. Step 2: Convert to fraction form
    408,046,333/885,370,983 = 885,370,983/x
  3. Step 3: Cross multiply
    408,046,333x = 885,370,983 × 885,370,983
  4. Step 4: Simplify right side
    408,046,333x = 783,881,777,538,386,304
  5. Step 5: Solve for x
    x = 783,881,777,538,386,304/408,046,333
  6. Step 6: Final answer
    x = 1,921,060,708.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.