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Finding the Third Proportional to 375,662 and 885,910

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Solution

The third proportional to 375,662 and 885,910 is: 2,089,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,662 : 885,910 = 885,910 : x
  2. Step 2: Convert to fraction form
    375,662/885,910 = 885,910/x
  3. Step 3: Cross multiply
    375,662x = 885,910 × 885,910
  4. Step 4: Simplify right side
    375,662x = 784,836,528,100
  5. Step 5: Solve for x
    x = 784,836,528,100/375,662
  6. Step 6: Final answer
    x = 2,089,209.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.