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Finding the Third Proportional to 593,309 and 1,228,674

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Solution

The third proportional to 593,309 and 1,228,674 is: 2,544,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,309 : 1,228,674 = 1,228,674 : x
  2. Step 2: Convert to fraction form
    593,309/1,228,674 = 1,228,674/x
  3. Step 3: Cross multiply
    593,309x = 1,228,674 × 1,228,674
  4. Step 4: Simplify right side
    593,309x = 1,509,639,798,276
  5. Step 5: Solve for x
    x = 1,509,639,798,276/593,309
  6. Step 6: Final answer
    x = 2,544,441.09

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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.