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Finding the Third Proportional to 883,319 and 1,906,525

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Solution

The third proportional to 883,319 and 1,906,525 is: 4,114,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,319 : 1,906,525 = 1,906,525 : x
  2. Step 2: Convert to fraction form
    883,319/1,906,525 = 1,906,525/x
  3. Step 3: Cross multiply
    883,319x = 1,906,525 × 1,906,525
  4. Step 4: Simplify right side
    883,319x = 3,634,837,575,625
  5. Step 5: Solve for x
    x = 3,634,837,575,625/883,319
  6. Step 6: Final answer
    x = 4,114,977.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.