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Finding the Third Proportional to 850,294.13 and 1,866,456

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Solution

The third proportional to 850,294.13 and 1,866,456 is: 4,097,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,294.13 : 1,866,456 = 1,866,456 : x
  2. Step 2: Convert to fraction form
    850,294.13/1,866,456 = 1,866,456/x
  3. Step 3: Cross multiply
    850,294.13x = 1,866,456 × 1,866,456
  4. Step 4: Simplify right side
    850,294.13x = 3,483,657,999,936
  5. Step 5: Solve for x
    x = 3,483,657,999,936/850,294.13
  6. Step 6: Final answer
    x = 4,097,003.49

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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.