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Finding the Third Proportional to 559,644.19 and 1,315,571.63

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Solution

The third proportional to 559,644.19 and 1,315,571.63 is: 3,092,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,644.19 : 1,315,571.63 = 1,315,571.63 : x
  2. Step 2: Convert to fraction form
    559,644.19/1,315,571.63 = 1,315,571.63/x
  3. Step 3: Cross multiply
    559,644.19x = 1,315,571.63 × 1,315,571.63
  4. Step 4: Simplify right side
    559,644.19x = 1,730,728,700,505.14
  5. Step 5: Solve for x
    x = 1,730,728,700,505.14/559,644.19
  6. Step 6: Final answer
    x = 3,092,551.91

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.