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Finding the Third Proportional to 593,196 and 1,279,708

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Solution

The third proportional to 593,196 and 1,279,708 is: 2,760,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,196 : 1,279,708 = 1,279,708 : x
  2. Step 2: Convert to fraction form
    593,196/1,279,708 = 1,279,708/x
  3. Step 3: Cross multiply
    593,196x = 1,279,708 × 1,279,708
  4. Step 4: Simplify right side
    593,196x = 1,637,652,565,264
  5. Step 5: Solve for x
    x = 1,637,652,565,264/593,196
  6. Step 6: Final answer
    x = 2,760,727.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.