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Finding the Third Proportional to 1,159,322 and 2,472,720

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Solution

The third proportional to 1,159,322 and 2,472,720 is: 5,274,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,322 : 2,472,720 = 2,472,720 : x
  2. Step 2: Convert to fraction form
    1,159,322/2,472,720 = 2,472,720/x
  3. Step 3: Cross multiply
    1,159,322x = 2,472,720 × 2,472,720
  4. Step 4: Simplify right side
    1,159,322x = 6,114,344,198,400
  5. Step 5: Solve for x
    x = 6,114,344,198,400/1,159,322
  6. Step 6: Final answer
    x = 5,274,068.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.