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Finding the Third Proportional to 579,742 and 801,078

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Solution

The third proportional to 579,742 and 801,078 is: 1,106,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,742 : 801,078 = 801,078 : x
  2. Step 2: Convert to fraction form
    579,742/801,078 = 801,078/x
  3. Step 3: Cross multiply
    579,742x = 801,078 × 801,078
  4. Step 4: Simplify right side
    579,742x = 641,725,962,084
  5. Step 5: Solve for x
    x = 641,725,962,084/579,742
  6. Step 6: Final answer
    x = 1,106,916.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.