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Finding the Third Proportional to 834,159 and 1,834,206

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Solution

The third proportional to 834,159 and 1,834,206 is: 4,033,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,159 : 1,834,206 = 1,834,206 : x
  2. Step 2: Convert to fraction form
    834,159/1,834,206 = 1,834,206/x
  3. Step 3: Cross multiply
    834,159x = 1,834,206 × 1,834,206
  4. Step 4: Simplify right side
    834,159x = 3,364,311,650,436
  5. Step 5: Solve for x
    x = 3,364,311,650,436/834,159
  6. Step 6: Final answer
    x = 4,033,177.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.