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Finding the Third Proportional to 861,976 and 1,364,226

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Solution

The third proportional to 861,976 and 1,364,226 is: 2,159,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,976 : 1,364,226 = 1,364,226 : x
  2. Step 2: Convert to fraction form
    861,976/1,364,226 = 1,364,226/x
  3. Step 3: Cross multiply
    861,976x = 1,364,226 × 1,364,226
  4. Step 4: Simplify right side
    861,976x = 1,861,112,579,076
  5. Step 5: Solve for x
    x = 1,861,112,579,076/861,976
  6. Step 6: Final answer
    x = 2,159,123.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.