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Finding the Third Proportional to 597,586 and 1,294,742

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Solution

The third proportional to 597,586 and 1,294,742 is: 2,805,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,586 : 1,294,742 = 1,294,742 : x
  2. Step 2: Convert to fraction form
    597,586/1,294,742 = 1,294,742/x
  3. Step 3: Cross multiply
    597,586x = 1,294,742 × 1,294,742
  4. Step 4: Simplify right side
    597,586x = 1,676,356,846,564
  5. Step 5: Solve for x
    x = 1,676,356,846,564/597,586
  6. Step 6: Final answer
    x = 2,805,214.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.