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Finding the Third Proportional to 867,413 and 1,879,627

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Solution

The third proportional to 867,413 and 1,879,627 is: 4,073,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,413 : 1,879,627 = 1,879,627 : x
  2. Step 2: Convert to fraction form
    867,413/1,879,627 = 1,879,627/x
  3. Step 3: Cross multiply
    867,413x = 1,879,627 × 1,879,627
  4. Step 4: Simplify right side
    867,413x = 3,532,997,659,129
  5. Step 5: Solve for x
    x = 3,532,997,659,129/867,413
  6. Step 6: Final answer
    x = 4,073,028.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.