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Finding the Third Proportional to 577,446 and 1,218,084

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Solution

The third proportional to 577,446 and 1,218,084 is: 2,569,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,446 : 1,218,084 = 1,218,084 : x
  2. Step 2: Convert to fraction form
    577,446/1,218,084 = 1,218,084/x
  3. Step 3: Cross multiply
    577,446x = 1,218,084 × 1,218,084
  4. Step 4: Simplify right side
    577,446x = 1,483,728,631,056
  5. Step 5: Solve for x
    x = 1,483,728,631,056/577,446
  6. Step 6: Final answer
    x = 2,569,467.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.