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Finding the Third Proportional to 965,364.75 and 1,446,184.13

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Solution

The third proportional to 965,364.75 and 1,446,184.13 is: 2,166,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,364.75 : 1,446,184.13 = 1,446,184.13 : x
  2. Step 2: Convert to fraction form
    965,364.75/1,446,184.13 = 1,446,184.13/x
  3. Step 3: Cross multiply
    965,364.75x = 1,446,184.13 × 1,446,184.13
  4. Step 4: Simplify right side
    965,364.75x = 2,091,448,523,402.02
  5. Step 5: Solve for x
    x = 2,091,448,523,402.02/965,364.75
  6. Step 6: Final answer
    x = 2,166,485.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.