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Finding the Third Proportional to 792,434 and 1,650,532

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Solution

The third proportional to 792,434 and 1,650,532 is: 3,437,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,434 : 1,650,532 = 1,650,532 : x
  2. Step 2: Convert to fraction form
    792,434/1,650,532 = 1,650,532/x
  3. Step 3: Cross multiply
    792,434x = 1,650,532 × 1,650,532
  4. Step 4: Simplify right side
    792,434x = 2,724,255,883,024
  5. Step 5: Solve for x
    x = 2,724,255,883,024/792,434
  6. Step 6: Final answer
    x = 3,437,833.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.