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Finding the Third Proportional to 409,569,441 and 902,622,180

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Solution

The third proportional to 409,569,441 and 902,622,180 is: 1,989,227,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,569,441 : 902,622,180 = 902,622,180 : x
  2. Step 2: Convert to fraction form
    409,569,441/902,622,180 = 902,622,180/x
  3. Step 3: Cross multiply
    409,569,441x = 902,622,180 × 902,622,180
  4. Step 4: Simplify right side
    409,569,441x = 814,726,799,827,952,384
  5. Step 5: Solve for x
    x = 814,726,799,827,952,384/409,569,441
  6. Step 6: Final answer
    x = 1,989,227,511.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.