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Finding the Third Proportional to 4,156,641 and 6,619,140

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Solution

The third proportional to 4,156,641 and 6,619,140 is: 10,540,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156,641 : 6,619,140 = 6,619,140 : x
  2. Step 2: Convert to fraction form
    4,156,641/6,619,140 = 6,619,140/x
  3. Step 3: Cross multiply
    4,156,641x = 6,619,140 × 6,619,140
  4. Step 4: Simplify right side
    4,156,641x = 43,813,014,339,600
  5. Step 5: Solve for x
    x = 43,813,014,339,600/4,156,641
  6. Step 6: Final answer
    x = 10,540,485.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.