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Finding the Third Proportional to 835,512 and 1,217,532

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Solution

The third proportional to 835,512 and 1,217,532 is: 1,774,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,512 : 1,217,532 = 1,217,532 : x
  2. Step 2: Convert to fraction form
    835,512/1,217,532 = 1,217,532/x
  3. Step 3: Cross multiply
    835,512x = 1,217,532 × 1,217,532
  4. Step 4: Simplify right side
    835,512x = 1,482,384,171,024
  5. Step 5: Solve for x
    x = 1,482,384,171,024/835,512
  6. Step 6: Final answer
    x = 1,774,222.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.