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Finding the Third Proportional to 656,586 and 1,411,257

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Solution

The third proportional to 656,586 and 1,411,257 is: 3,033,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,586 : 1,411,257 = 1,411,257 : x
  2. Step 2: Convert to fraction form
    656,586/1,411,257 = 1,411,257/x
  3. Step 3: Cross multiply
    656,586x = 1,411,257 × 1,411,257
  4. Step 4: Simplify right side
    656,586x = 1,991,646,320,049
  5. Step 5: Solve for x
    x = 1,991,646,320,049/656,586
  6. Step 6: Final answer
    x = 3,033,336.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.