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Finding the Third Proportional to 590,880 and 1,252,656

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Solution

The third proportional to 590,880 and 1,252,656 is: 2,655,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,880 : 1,252,656 = 1,252,656 : x
  2. Step 2: Convert to fraction form
    590,880/1,252,656 = 1,252,656/x
  3. Step 3: Cross multiply
    590,880x = 1,252,656 × 1,252,656
  4. Step 4: Simplify right side
    590,880x = 1,569,147,054,336
  5. Step 5: Solve for x
    x = 1,569,147,054,336/590,880
  6. Step 6: Final answer
    x = 2,655,610.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.