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Finding the Third Proportional to 490,239 and 1,159,122

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Solution

The third proportional to 490,239 and 1,159,122 is: 2,740,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,239 : 1,159,122 = 1,159,122 : x
  2. Step 2: Convert to fraction form
    490,239/1,159,122 = 1,159,122/x
  3. Step 3: Cross multiply
    490,239x = 1,159,122 × 1,159,122
  4. Step 4: Simplify right side
    490,239x = 1,343,563,810,884
  5. Step 5: Solve for x
    x = 1,343,563,810,884/490,239
  6. Step 6: Final answer
    x = 2,740,630.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.