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Finding the Third Proportional to 1,429,832 and 2,977,276

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Solution

The third proportional to 1,429,832 and 2,977,276 is: 6,199,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,832 : 2,977,276 = 2,977,276 : x
  2. Step 2: Convert to fraction form
    1,429,832/2,977,276 = 2,977,276/x
  3. Step 3: Cross multiply
    1,429,832x = 2,977,276 × 2,977,276
  4. Step 4: Simplify right side
    1,429,832x = 8,864,172,380,176
  5. Step 5: Solve for x
    x = 8,864,172,380,176/1,429,832
  6. Step 6: Final answer
    x = 6,199,450.27

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.