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Finding the Third Proportional to 3,064,934 and 6,503,454

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Solution

The third proportional to 3,064,934 and 6,503,454 is: 13,799,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064,934 : 6,503,454 = 6,503,454 : x
  2. Step 2: Convert to fraction form
    3,064,934/6,503,454 = 6,503,454/x
  3. Step 3: Cross multiply
    3,064,934x = 6,503,454 × 6,503,454
  4. Step 4: Simplify right side
    3,064,934x = 42,294,913,930,116
  5. Step 5: Solve for x
    x = 42,294,913,930,116/3,064,934
  6. Step 6: Final answer
    x = 13,799,616.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.