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Finding the Third Proportional to 851,853 and 1,270,395

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Solution

The third proportional to 851,853 and 1,270,395 is: 1,894,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,853 : 1,270,395 = 1,270,395 : x
  2. Step 2: Convert to fraction form
    851,853/1,270,395 = 1,270,395/x
  3. Step 3: Cross multiply
    851,853x = 1,270,395 × 1,270,395
  4. Step 4: Simplify right side
    851,853x = 1,613,903,456,025
  5. Step 5: Solve for x
    x = 1,613,903,456,025/851,853
  6. Step 6: Final answer
    x = 1,894,579.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.