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Finding the Third Proportional to 962,132 and 2,078,434

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Solution

The third proportional to 962,132 and 2,078,434 is: 4,489,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,132 : 2,078,434 = 2,078,434 : x
  2. Step 2: Convert to fraction form
    962,132/2,078,434 = 2,078,434/x
  3. Step 3: Cross multiply
    962,132x = 2,078,434 × 2,078,434
  4. Step 4: Simplify right side
    962,132x = 4,319,887,892,356
  5. Step 5: Solve for x
    x = 4,319,887,892,356/962,132
  6. Step 6: Final answer
    x = 4,489,911.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.