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Finding the Third Proportional to 565,802 and 1,212,502

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Solution

The third proportional to 565,802 and 1,212,502 is: 2,598,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,802 : 1,212,502 = 1,212,502 : x
  2. Step 2: Convert to fraction form
    565,802/1,212,502 = 1,212,502/x
  3. Step 3: Cross multiply
    565,802x = 1,212,502 × 1,212,502
  4. Step 4: Simplify right side
    565,802x = 1,470,161,100,004
  5. Step 5: Solve for x
    x = 1,470,161,100,004/565,802
  6. Step 6: Final answer
    x = 2,598,366.74

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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.