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Finding the Third Proportional to 474,045 and 880,836

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Solution

The third proportional to 474,045 and 880,836 is: 1,636,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,045 : 880,836 = 880,836 : x
  2. Step 2: Convert to fraction form
    474,045/880,836 = 880,836/x
  3. Step 3: Cross multiply
    474,045x = 880,836 × 880,836
  4. Step 4: Simplify right side
    474,045x = 775,872,058,896
  5. Step 5: Solve for x
    x = 775,872,058,896/474,045
  6. Step 6: Final answer
    x = 1,636,705.50

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.