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Finding the Third Proportional to 1,306,863 and 2,813,964

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Solution

The third proportional to 1,306,863 and 2,813,964 is: 6,059,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,863 : 2,813,964 = 2,813,964 : x
  2. Step 2: Convert to fraction form
    1,306,863/2,813,964 = 2,813,964/x
  3. Step 3: Cross multiply
    1,306,863x = 2,813,964 × 2,813,964
  4. Step 4: Simplify right side
    1,306,863x = 7,918,393,393,296
  5. Step 5: Solve for x
    x = 7,918,393,393,296/1,306,863
  6. Step 6: Final answer
    x = 6,059,084.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.