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Finding the Third Proportional to 918,309.75 and 2,144,403.75

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Solution

The third proportional to 918,309.75 and 2,144,403.75 is: 5,007,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,309.75 : 2,144,403.75 = 2,144,403.75 : x
  2. Step 2: Convert to fraction form
    918,309.75/2,144,403.75 = 2,144,403.75/x
  3. Step 3: Cross multiply
    918,309.75x = 2,144,403.75 × 2,144,403.75
  4. Step 4: Simplify right side
    918,309.75x = 4,598,467,443,014.06
  5. Step 5: Solve for x
    x = 4,598,467,443,014.06/918,309.75
  6. Step 6: Final answer
    x = 5,007,534.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.