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Finding the Third Proportional to 520,098 and 1,135,904

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Solution

The third proportional to 520,098 and 1,135,904 is: 2,480,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098 : 1,135,904 = 1,135,904 : x
  2. Step 2: Convert to fraction form
    520,098/1,135,904 = 1,135,904/x
  3. Step 3: Cross multiply
    520,098x = 1,135,904 × 1,135,904
  4. Step 4: Simplify right side
    520,098x = 1,290,277,897,216
  5. Step 5: Solve for x
    x = 1,290,277,897,216/520,098
  6. Step 6: Final answer
    x = 2,480,836.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.