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Finding the Third Proportional to 1,166,751.75 and 1,905,188.63

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Solution

The third proportional to 1,166,751.75 and 1,905,188.63 is: 3,110,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,751.75 : 1,905,188.63 = 1,905,188.63 : x
  2. Step 2: Convert to fraction form
    1,166,751.75/1,905,188.63 = 1,905,188.63/x
  3. Step 3: Cross multiply
    1,166,751.75x = 1,905,188.63 × 1,905,188.63
  4. Step 4: Simplify right side
    1,166,751.75x = 3,629,743,696,829.39
  5. Step 5: Solve for x
    x = 3,629,743,696,829.39/1,166,751.75
  6. Step 6: Final answer
    x = 3,110,982.00

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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.