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Finding the Third Proportional to 522,908 and 1,145,324

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Solution

The third proportional to 522,908 and 1,145,324 is: 2,508,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,908 : 1,145,324 = 1,145,324 : x
  2. Step 2: Convert to fraction form
    522,908/1,145,324 = 1,145,324/x
  3. Step 3: Cross multiply
    522,908x = 1,145,324 × 1,145,324
  4. Step 4: Simplify right side
    522,908x = 1,311,767,064,976
  5. Step 5: Solve for x
    x = 1,311,767,064,976/522,908
  6. Step 6: Final answer
    x = 2,508,600.11

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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.