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Finding the Third Proportional to 2,288,695.50 and 3,462,507

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Solution

The third proportional to 2,288,695.50 and 3,462,507 is: 5,238,335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,695.50 : 3,462,507 = 3,462,507 : x
  2. Step 2: Convert to fraction form
    2,288,695.50/3,462,507 = 3,462,507/x
  3. Step 3: Cross multiply
    2,288,695.50x = 3,462,507 × 3,462,507
  4. Step 4: Simplify right side
    2,288,695.50x = 11,988,954,725,049
  5. Step 5: Solve for x
    x = 11,988,954,725,049/2,288,695.50
  6. Step 6: Final answer
    x = 5,238,335.43

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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.