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Finding the Third Proportional to 390,857 and 856,531

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Solution

The third proportional to 390,857 and 856,531 is: 1,877,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,857 : 856,531 = 856,531 : x
  2. Step 2: Convert to fraction form
    390,857/856,531 = 856,531/x
  3. Step 3: Cross multiply
    390,857x = 856,531 × 856,531
  4. Step 4: Simplify right side
    390,857x = 733,645,353,961
  5. Step 5: Solve for x
    x = 733,645,353,961/390,857
  6. Step 6: Final answer
    x = 1,877,017.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.