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Finding the Third Proportional to 613,569 and 1,433,040

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Solution

The third proportional to 613,569 and 1,433,040 is: 3,346,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,569 : 1,433,040 = 1,433,040 : x
  2. Step 2: Convert to fraction form
    613,569/1,433,040 = 1,433,040/x
  3. Step 3: Cross multiply
    613,569x = 1,433,040 × 1,433,040
  4. Step 4: Simplify right side
    613,569x = 2,053,603,641,600
  5. Step 5: Solve for x
    x = 2,053,603,641,600/613,569
  6. Step 6: Final answer
    x = 3,346,980.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.