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Finding the Third Proportional to 586,080 and 1,279,536

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Solution

The third proportional to 586,080 and 1,279,536 is: 2,793,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,080 : 1,279,536 = 1,279,536 : x
  2. Step 2: Convert to fraction form
    586,080/1,279,536 = 1,279,536/x
  3. Step 3: Cross multiply
    586,080x = 1,279,536 × 1,279,536
  4. Step 4: Simplify right side
    586,080x = 1,637,212,375,296
  5. Step 5: Solve for x
    x = 1,637,212,375,296/586,080
  6. Step 6: Final answer
    x = 2,793,496.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.