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Finding the Third Proportional to 2,603,214 and 5,333,292

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Solution

The third proportional to 2,603,214 and 5,333,292 is: 10,926,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603,214 : 5,333,292 = 5,333,292 : x
  2. Step 2: Convert to fraction form
    2,603,214/5,333,292 = 5,333,292/x
  3. Step 3: Cross multiply
    2,603,214x = 5,333,292 × 5,333,292
  4. Step 4: Simplify right side
    2,603,214x = 28,444,003,557,264
  5. Step 5: Solve for x
    x = 28,444,003,557,264/2,603,214
  6. Step 6: Final answer
    x = 10,926,494.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.