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Finding the Third Proportional to 561,390 and 1,227,754.50

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Solution

The third proportional to 561,390 and 1,227,754.50 is: 2,685,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,390 : 1,227,754.50 = 1,227,754.50 : x
  2. Step 2: Convert to fraction form
    561,390/1,227,754.50 = 1,227,754.50/x
  3. Step 3: Cross multiply
    561,390x = 1,227,754.50 × 1,227,754.50
  4. Step 4: Simplify right side
    561,390x = 1,507,381,112,270.25
  5. Step 5: Solve for x
    x = 1,507,381,112,270.25/561,390
  6. Step 6: Final answer
    x = 2,685,087.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.