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Finding the Third Proportional to 945,288 and 2,074,257

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Solution

The third proportional to 945,288 and 2,074,257 is: 4,551,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,288 : 2,074,257 = 2,074,257 : x
  2. Step 2: Convert to fraction form
    945,288/2,074,257 = 2,074,257/x
  3. Step 3: Cross multiply
    945,288x = 2,074,257 × 2,074,257
  4. Step 4: Simplify right side
    945,288x = 4,302,542,102,049
  5. Step 5: Solve for x
    x = 4,302,542,102,049/945,288
  6. Step 6: Final answer
    x = 4,551,567.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.