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Finding the Third Proportional to 3,070,014 and 4,294,233

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Solution

The third proportional to 3,070,014 and 4,294,233 is: 6,006,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070,014 : 4,294,233 = 4,294,233 : x
  2. Step 2: Convert to fraction form
    3,070,014/4,294,233 = 4,294,233/x
  3. Step 3: Cross multiply
    3,070,014x = 4,294,233 × 4,294,233
  4. Step 4: Simplify right side
    3,070,014x = 18,440,437,058,289
  5. Step 5: Solve for x
    x = 18,440,437,058,289/3,070,014
  6. Step 6: Final answer
    x = 6,006,629.63

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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.