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Finding the Third Proportional to 711,351 and 1,084,754.25

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Solution

The third proportional to 711,351 and 1,084,754.25 is: 1,654,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,351 : 1,084,754.25 = 1,084,754.25 : x
  2. Step 2: Convert to fraction form
    711,351/1,084,754.25 = 1,084,754.25/x
  3. Step 3: Cross multiply
    711,351x = 1,084,754.25 × 1,084,754.25
  4. Step 4: Simplify right side
    711,351x = 1,176,691,782,893.06
  5. Step 5: Solve for x
    x = 1,176,691,782,893.06/711,351
  6. Step 6: Final answer
    x = 1,654,164.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.