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Finding the Third Proportional to 502,380 and 1,099,224

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Solution

The third proportional to 502,380 and 1,099,224 is: 2,405,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,380 : 1,099,224 = 1,099,224 : x
  2. Step 2: Convert to fraction form
    502,380/1,099,224 = 1,099,224/x
  3. Step 3: Cross multiply
    502,380x = 1,099,224 × 1,099,224
  4. Step 4: Simplify right side
    502,380x = 1,208,293,402,176
  5. Step 5: Solve for x
    x = 1,208,293,402,176/502,380
  6. Step 6: Final answer
    x = 2,405,138.35

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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.