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Finding the Third Proportional to 4,702,920 and 6,872,913

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Solution

The third proportional to 4,702,920 and 6,872,913 is: 10,044,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702,920 : 6,872,913 = 6,872,913 : x
  2. Step 2: Convert to fraction form
    4,702,920/6,872,913 = 6,872,913/x
  3. Step 3: Cross multiply
    4,702,920x = 6,872,913 × 6,872,913
  4. Step 4: Simplify right side
    4,702,920x = 47,236,933,105,569
  5. Step 5: Solve for x
    x = 47,236,933,105,569/4,702,920
  6. Step 6: Final answer
    x = 10,044,171.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.