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Finding the Third Proportional to 723,183.19 and 1,574,943.75

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Solution

The third proportional to 723,183.19 and 1,574,943.75 is: 3,429,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,183.19 : 1,574,943.75 = 1,574,943.75 : x
  2. Step 2: Convert to fraction form
    723,183.19/1,574,943.75 = 1,574,943.75/x
  3. Step 3: Cross multiply
    723,183.19x = 1,574,943.75 × 1,574,943.75
  4. Step 4: Simplify right side
    723,183.19x = 2,480,447,815,664.06
  5. Step 5: Solve for x
    x = 2,480,447,815,664.06/723,183.19
  6. Step 6: Final answer
    x = 3,429,902.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.