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Finding the Third Proportional to 502,810 and 1,099,618.75

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Solution

The third proportional to 502,810 and 1,099,618.75 is: 2,404,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,810 : 1,099,618.75 = 1,099,618.75 : x
  2. Step 2: Convert to fraction form
    502,810/1,099,618.75 = 1,099,618.75/x
  3. Step 3: Cross multiply
    502,810x = 1,099,618.75 × 1,099,618.75
  4. Step 4: Simplify right side
    502,810x = 1,209,161,395,351.56
  5. Step 5: Solve for x
    x = 1,209,161,395,351.56/502,810
  6. Step 6: Final answer
    x = 2,404,807.77

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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.