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Finding the Third Proportional to 593,168 and 1,228,414

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Solution

The third proportional to 593,168 and 1,228,414 is: 2,543,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,168 : 1,228,414 = 1,228,414 : x
  2. Step 2: Convert to fraction form
    593,168/1,228,414 = 1,228,414/x
  3. Step 3: Cross multiply
    593,168x = 1,228,414 × 1,228,414
  4. Step 4: Simplify right side
    593,168x = 1,509,000,955,396
  5. Step 5: Solve for x
    x = 1,509,000,955,396/593,168
  6. Step 6: Final answer
    x = 2,543,968.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.