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Finding the Third Proportional to 593,742 and 1,208,220

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Solution

The third proportional to 593,742 and 1,208,220 is: 2,458,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,742 : 1,208,220 = 1,208,220 : x
  2. Step 2: Convert to fraction form
    593,742/1,208,220 = 1,208,220/x
  3. Step 3: Cross multiply
    593,742x = 1,208,220 × 1,208,220
  4. Step 4: Simplify right side
    593,742x = 1,459,795,568,400
  5. Step 5: Solve for x
    x = 1,459,795,568,400/593,742
  6. Step 6: Final answer
    x = 2,458,636.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.