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Finding the Third Proportional to 513,904 and 1,130,324

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Solution

The third proportional to 513,904 and 1,130,324 is: 2,486,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,904 : 1,130,324 = 1,130,324 : x
  2. Step 2: Convert to fraction form
    513,904/1,130,324 = 1,130,324/x
  3. Step 3: Cross multiply
    513,904x = 1,130,324 × 1,130,324
  4. Step 4: Simplify right side
    513,904x = 1,277,632,344,976
  5. Step 5: Solve for x
    x = 1,277,632,344,976/513,904
  6. Step 6: Final answer
    x = 2,486,130.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.