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Finding the Third Proportional to 1,246,792.50 and 2,684,286

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Solution

The third proportional to 1,246,792.50 and 2,684,286 is: 5,779,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,792.50 : 2,684,286 = 2,684,286 : x
  2. Step 2: Convert to fraction form
    1,246,792.50/2,684,286 = 2,684,286/x
  3. Step 3: Cross multiply
    1,246,792.50x = 2,684,286 × 2,684,286
  4. Step 4: Simplify right side
    1,246,792.50x = 7,205,391,329,796
  5. Step 5: Solve for x
    x = 7,205,391,329,796/1,246,792.50
  6. Step 6: Final answer
    x = 5,779,142.34

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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.