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Finding the Third Proportional to 1,161,258 and 2,369,170

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Solution

The third proportional to 1,161,258 and 2,369,170 is: 4,833,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,258 : 2,369,170 = 2,369,170 : x
  2. Step 2: Convert to fraction form
    1,161,258/2,369,170 = 2,369,170/x
  3. Step 3: Cross multiply
    1,161,258x = 2,369,170 × 2,369,170
  4. Step 4: Simplify right side
    1,161,258x = 5,612,966,488,900
  5. Step 5: Solve for x
    x = 5,612,966,488,900/1,161,258
  6. Step 6: Final answer
    x = 4,833,522.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.