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Finding the Third Proportional to 929,621.25 and 1,970,871.75

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Solution

The third proportional to 929,621.25 and 1,970,871.75 is: 4,178,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,621.25 : 1,970,871.75 = 1,970,871.75 : x
  2. Step 2: Convert to fraction form
    929,621.25/1,970,871.75 = 1,970,871.75/x
  3. Step 3: Cross multiply
    929,621.25x = 1,970,871.75 × 1,970,871.75
  4. Step 4: Simplify right side
    929,621.25x = 3,884,335,454,948.06
  5. Step 5: Solve for x
    x = 3,884,335,454,948.06/929,621.25
  6. Step 6: Final answer
    x = 4,178,406.48

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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.