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Finding the Third Proportional to 931,831 and 2,032,350

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Solution

The third proportional to 931,831 and 2,032,350 is: 4,432,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,831 : 2,032,350 = 2,032,350 : x
  2. Step 2: Convert to fraction form
    931,831/2,032,350 = 2,032,350/x
  3. Step 3: Cross multiply
    931,831x = 2,032,350 × 2,032,350
  4. Step 4: Simplify right side
    931,831x = 4,130,446,522,500
  5. Step 5: Solve for x
    x = 4,130,446,522,500/931,831
  6. Step 6: Final answer
    x = 4,432,613.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.