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Finding the Third Proportional to 502,812 and 1,099,623

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Solution

The third proportional to 502,812 and 1,099,623 is: 2,404,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,812 : 1,099,623 = 1,099,623 : x
  2. Step 2: Convert to fraction form
    502,812/1,099,623 = 1,099,623/x
  3. Step 3: Cross multiply
    502,812x = 1,099,623 × 1,099,623
  4. Step 4: Simplify right side
    502,812x = 1,209,170,742,129
  5. Step 5: Solve for x
    x = 1,209,170,742,129/502,812
  6. Step 6: Final answer
    x = 2,404,816.79

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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.