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Finding the Third Proportional to 831,880.13 and 1,789,854.47

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Solution

The third proportional to 831,880.13 and 1,789,854.47 is: 3,851,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,880.13 : 1,789,854.47 = 1,789,854.47 : x
  2. Step 2: Convert to fraction form
    831,880.13/1,789,854.47 = 1,789,854.47/x
  3. Step 3: Cross multiply
    831,880.13x = 1,789,854.47 × 1,789,854.47
  4. Step 4: Simplify right side
    831,880.13x = 3,203,579,019,304.35
  5. Step 5: Solve for x
    x = 3,203,579,019,304.35/831,880.13
  6. Step 6: Final answer
    x = 3,851,010.41

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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.