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Finding the Third Proportional to 515,327 and 1,106,835

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Solution

The third proportional to 515,327 and 1,106,835 is: 2,377,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,327 : 1,106,835 = 1,106,835 : x
  2. Step 2: Convert to fraction form
    515,327/1,106,835 = 1,106,835/x
  3. Step 3: Cross multiply
    515,327x = 1,106,835 × 1,106,835
  4. Step 4: Simplify right side
    515,327x = 1,225,083,717,225
  5. Step 5: Solve for x
    x = 1,225,083,717,225/515,327
  6. Step 6: Final answer
    x = 2,377,293.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.