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Finding the Third Proportional to 1,385,591 and 2,977,462

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Solution

The third proportional to 1,385,591 and 2,977,462 is: 6,398,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,591 : 2,977,462 = 2,977,462 : x
  2. Step 2: Convert to fraction form
    1,385,591/2,977,462 = 2,977,462/x
  3. Step 3: Cross multiply
    1,385,591x = 2,977,462 × 2,977,462
  4. Step 4: Simplify right side
    1,385,591x = 8,865,279,961,444
  5. Step 5: Solve for x
    x = 8,865,279,961,444/1,385,591
  6. Step 6: Final answer
    x = 6,398,193.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.