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Finding the Third Proportional to 452,614 and 942,416

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Solution

The third proportional to 452,614 and 942,416 is: 1,962,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,614 : 942,416 = 942,416 : x
  2. Step 2: Convert to fraction form
    452,614/942,416 = 942,416/x
  3. Step 3: Cross multiply
    452,614x = 942,416 × 942,416
  4. Step 4: Simplify right side
    452,614x = 888,147,917,056
  5. Step 5: Solve for x
    x = 888,147,917,056/452,614
  6. Step 6: Final answer
    x = 1,962,263.47

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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.