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Finding the Third Proportional to 731,019.94 and 1,603,278.56

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Solution

The third proportional to 731,019.94 and 1,603,278.56 is: 3,516,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,019.94 : 1,603,278.56 = 1,603,278.56 : x
  2. Step 2: Convert to fraction form
    731,019.94/1,603,278.56 = 1,603,278.56/x
  3. Step 3: Cross multiply
    731,019.94x = 1,603,278.56 × 1,603,278.56
  4. Step 4: Simplify right side
    731,019.94x = 2,570,502,148,972.07
  5. Step 5: Solve for x
    x = 2,570,502,148,972.07/731,019.94
  6. Step 6: Final answer
    x = 3,516,322.90

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Why These Related Problems?

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