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Finding the Third Proportional to 423,512 and 930,986

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Solution

The third proportional to 423,512 and 930,986 is: 2,046,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,512 : 930,986 = 930,986 : x
  2. Step 2: Convert to fraction form
    423,512/930,986 = 930,986/x
  3. Step 3: Cross multiply
    423,512x = 930,986 × 930,986
  4. Step 4: Simplify right side
    423,512x = 866,734,932,196
  5. Step 5: Solve for x
    x = 866,734,932,196/423,512
  6. Step 6: Final answer
    x = 2,046,541.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.