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Finding the Third Proportional to 393,514 and 847,237

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Solution

The third proportional to 393,514 and 847,237 is: 1,824,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,514 : 847,237 = 847,237 : x
  2. Step 2: Convert to fraction form
    393,514/847,237 = 847,237/x
  3. Step 3: Cross multiply
    393,514x = 847,237 × 847,237
  4. Step 4: Simplify right side
    393,514x = 717,810,534,169
  5. Step 5: Solve for x
    x = 717,810,534,169/393,514
  6. Step 6: Final answer
    x = 1,824,104.18

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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.