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Finding the Third Proportional to 565,239 and 1,212,369

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Solution

The third proportional to 565,239 and 1,212,369 is: 2,600,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,239 : 1,212,369 = 1,212,369 : x
  2. Step 2: Convert to fraction form
    565,239/1,212,369 = 1,212,369/x
  3. Step 3: Cross multiply
    565,239x = 1,212,369 × 1,212,369
  4. Step 4: Simplify right side
    565,239x = 1,469,838,592,161
  5. Step 5: Solve for x
    x = 1,469,838,592,161/565,239
  6. Step 6: Final answer
    x = 2,600,384.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.