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Finding the Third Proportional to 997,439.88 and 1,579,664.63

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Solution

The third proportional to 997,439.88 and 1,579,664.63 is: 2,501,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,439.88 : 1,579,664.63 = 1,579,664.63 : x
  2. Step 2: Convert to fraction form
    997,439.88/1,579,664.63 = 1,579,664.63/x
  3. Step 3: Cross multiply
    997,439.88x = 1,579,664.63 × 1,579,664.63
  4. Step 4: Simplify right side
    997,439.88x = 2,495,340,327,476.39
  5. Step 5: Solve for x
    x = 2,495,340,327,476.39/997,439.88
  6. Step 6: Final answer
    x = 2,501,745.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.