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Finding the Third Proportional to 865,467 and 2,246,706

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Solution

The third proportional to 865,467 and 2,246,706 is: 5,832,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,467 : 2,246,706 = 2,246,706 : x
  2. Step 2: Convert to fraction form
    865,467/2,246,706 = 2,246,706/x
  3. Step 3: Cross multiply
    865,467x = 2,246,706 × 2,246,706
  4. Step 4: Simplify right side
    865,467x = 5,047,687,850,436
  5. Step 5: Solve for x
    x = 5,047,687,850,436/865,467
  6. Step 6: Final answer
    x = 5,832,328.50

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.