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Finding the Third Proportional to 2,264,860.50 and 3,430,257

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Solution

The third proportional to 2,264,860.50 and 3,430,257 is: 5,195,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264,860.50 : 3,430,257 = 3,430,257 : x
  2. Step 2: Convert to fraction form
    2,264,860.50/3,430,257 = 3,430,257/x
  3. Step 3: Cross multiply
    2,264,860.50x = 3,430,257 × 3,430,257
  4. Step 4: Simplify right side
    2,264,860.50x = 11,766,663,086,049
  5. Step 5: Solve for x
    x = 11,766,663,086,049/2,264,860.50
  6. Step 6: Final answer
    x = 5,195,314.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.