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Finding the Third Proportional to 836,261 and 1,329,159

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Solution

The third proportional to 836,261 and 1,329,159 is: 2,112,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,261 : 1,329,159 = 1,329,159 : x
  2. Step 2: Convert to fraction form
    836,261/1,329,159 = 1,329,159/x
  3. Step 3: Cross multiply
    836,261x = 1,329,159 × 1,329,159
  4. Step 4: Simplify right side
    836,261x = 1,766,663,647,281
  5. Step 5: Solve for x
    x = 1,766,663,647,281/836,261
  6. Step 6: Final answer
    x = 2,112,574.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.