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Finding the Third Proportional to 807,561 and 1,097,212.50

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Solution

The third proportional to 807,561 and 1,097,212.50 is: 1,490,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,561 : 1,097,212.50 = 1,097,212.50 : x
  2. Step 2: Convert to fraction form
    807,561/1,097,212.50 = 1,097,212.50/x
  3. Step 3: Cross multiply
    807,561x = 1,097,212.50 × 1,097,212.50
  4. Step 4: Simplify right side
    807,561x = 1,203,875,270,156.25
  5. Step 5: Solve for x
    x = 1,203,875,270,156.25/807,561
  6. Step 6: Final answer
    x = 1,490,754.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.