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Finding the Third Proportional to 472,803.75 and 1,044,969.19

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Solution

The third proportional to 472,803.75 and 1,044,969.19 is: 2,309,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,803.75 : 1,044,969.19 = 1,044,969.19 : x
  2. Step 2: Convert to fraction form
    472,803.75/1,044,969.19 = 1,044,969.19/x
  3. Step 3: Cross multiply
    472,803.75x = 1,044,969.19 × 1,044,969.19
  4. Step 4: Simplify right side
    472,803.75x = 1,091,960,602,824.41
  5. Step 5: Solve for x
    x = 1,091,960,602,824.41/472,803.75
  6. Step 6: Final answer
    x = 2,309,543.02

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.