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Finding the Third Proportional to 413,912 and 891,232

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Solution

The third proportional to 413,912 and 891,232 is: 1,918,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,912 : 891,232 = 891,232 : x
  2. Step 2: Convert to fraction form
    413,912/891,232 = 891,232/x
  3. Step 3: Cross multiply
    413,912x = 891,232 × 891,232
  4. Step 4: Simplify right side
    413,912x = 794,294,477,824
  5. Step 5: Solve for x
    x = 794,294,477,824/413,912
  6. Step 6: Final answer
    x = 1,918,993.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.