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Finding the Third Proportional to 4,291,331.25 and 6,014,289

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Solution

The third proportional to 4,291,331.25 and 6,014,289 is: 8,429,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291,331.25 : 6,014,289 = 6,014,289 : x
  2. Step 2: Convert to fraction form
    4,291,331.25/6,014,289 = 6,014,289/x
  3. Step 3: Cross multiply
    4,291,331.25x = 6,014,289 × 6,014,289
  4. Step 4: Simplify right side
    4,291,331.25x = 36,171,672,175,521
  5. Step 5: Solve for x
    x = 36,171,672,175,521/4,291,331.25
  6. Step 6: Final answer
    x = 8,429,009.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.