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Finding the Third Proportional to 399,541 and 858,370

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Solution

The third proportional to 399,541 and 858,370 is: 1,844,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,541 : 858,370 = 858,370 : x
  2. Step 2: Convert to fraction form
    399,541/858,370 = 858,370/x
  3. Step 3: Cross multiply
    399,541x = 858,370 × 858,370
  4. Step 4: Simplify right side
    399,541x = 736,799,056,900
  5. Step 5: Solve for x
    x = 736,799,056,900/399,541
  6. Step 6: Final answer
    x = 1,844,113.76

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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.