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Finding the Third Proportional to 829,125 and 1,757,895

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Solution

The third proportional to 829,125 and 1,757,895 is: 3,727,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,125 : 1,757,895 = 1,757,895 : x
  2. Step 2: Convert to fraction form
    829,125/1,757,895 = 1,757,895/x
  3. Step 3: Cross multiply
    829,125x = 1,757,895 × 1,757,895
  4. Step 4: Simplify right side
    829,125x = 3,090,194,831,025
  5. Step 5: Solve for x
    x = 3,090,194,831,025/829,125
  6. Step 6: Final answer
    x = 3,727,055.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.