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Finding the Third Proportional to 4,646,919 and 6,692,871

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Solution

The third proportional to 4,646,919 and 6,692,871 is: 9,639,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,919 : 6,692,871 = 6,692,871 : x
  2. Step 2: Convert to fraction form
    4,646,919/6,692,871 = 6,692,871/x
  3. Step 3: Cross multiply
    4,646,919x = 6,692,871 × 6,692,871
  4. Step 4: Simplify right side
    4,646,919x = 44,794,522,222,641
  5. Step 5: Solve for x
    x = 44,794,522,222,641/4,646,919
  6. Step 6: Final answer
    x = 9,639,617.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.