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Finding the Third Proportional to 830,393.44 and 1,355,946.75

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Solution

The third proportional to 830,393.44 and 1,355,946.75 is: 2,214,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,393.44 : 1,355,946.75 = 1,355,946.75 : x
  2. Step 2: Convert to fraction form
    830,393.44/1,355,946.75 = 1,355,946.75/x
  3. Step 3: Cross multiply
    830,393.44x = 1,355,946.75 × 1,355,946.75
  4. Step 4: Simplify right side
    830,393.44x = 1,838,591,588,835.56
  5. Step 5: Solve for x
    x = 1,838,591,588,835.56/830,393.44
  6. Step 6: Final answer
    x = 2,214,121.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.