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Finding the Third Proportional to 868,623.75 and 1,253,097

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Solution

The third proportional to 868,623.75 and 1,253,097 is: 1,807,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,623.75 : 1,253,097 = 1,253,097 : x
  2. Step 2: Convert to fraction form
    868,623.75/1,253,097 = 1,253,097/x
  3. Step 3: Cross multiply
    868,623.75x = 1,253,097 × 1,253,097
  4. Step 4: Simplify right side
    868,623.75x = 1,570,252,091,409
  5. Step 5: Solve for x
    x = 1,570,252,091,409/868,623.75
  6. Step 6: Final answer
    x = 1,807,747.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.