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Finding the Third Proportional to 1,048,393.13 and 1,603,071

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Solution

The third proportional to 1,048,393.13 and 1,603,071 is: 2,451,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,393.13 : 1,603,071 = 1,603,071 : x
  2. Step 2: Convert to fraction form
    1,048,393.13/1,603,071 = 1,603,071/x
  3. Step 3: Cross multiply
    1,048,393.13x = 1,603,071 × 1,603,071
  4. Step 4: Simplify right side
    1,048,393.13x = 2,569,836,631,041
  5. Step 5: Solve for x
    x = 2,569,836,631,041/1,048,393.13
  6. Step 6: Final answer
    x = 2,451,214.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.