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Finding the Third Proportional to 1,899,603.14 and 2,844,208.69

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Solution

The third proportional to 1,899,603.14 and 2,844,208.69 is: 4,258,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899,603.14 : 2,844,208.69 = 2,844,208.69 : x
  2. Step 2: Convert to fraction form
    1,899,603.14/2,844,208.69 = 2,844,208.69/x
  3. Step 3: Cross multiply
    1,899,603.14x = 2,844,208.69 × 2,844,208.69
  4. Step 4: Simplify right side
    1,899,603.14x = 8,089,523,058,050.47
  5. Step 5: Solve for x
    x = 8,089,523,058,050.47/1,899,603.14
  6. Step 6: Final answer
    x = 4,258,533.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.