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Finding the Third Proportional to 948,468 and 1,446,334.50

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Solution

The third proportional to 948,468 and 1,446,334.50 is: 2,205,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,468 : 1,446,334.50 = 1,446,334.50 : x
  2. Step 2: Convert to fraction form
    948,468/1,446,334.50 = 1,446,334.50/x
  3. Step 3: Cross multiply
    948,468x = 1,446,334.50 × 1,446,334.50
  4. Step 4: Simplify right side
    948,468x = 2,091,883,485,890.25
  5. Step 5: Solve for x
    x = 2,091,883,485,890.25/948,468
  6. Step 6: Final answer
    x = 2,205,539.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.