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Finding the Third Proportional to 654,945.75 and 999,914.63

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Solution

The third proportional to 654,945.75 and 999,914.63 is: 1,526,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,945.75 : 999,914.63 = 999,914.63 : x
  2. Step 2: Convert to fraction form
    654,945.75/999,914.63 = 999,914.63/x
  3. Step 3: Cross multiply
    654,945.75x = 999,914.63 × 999,914.63
  4. Step 4: Simplify right side
    654,945.75x = 999,829,257,288.89
  5. Step 5: Solve for x
    x = 999,829,257,288.89/654,945.75
  6. Step 6: Final answer
    x = 1,526,583.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.