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Finding the Third Proportional to 1,927,176 and 4,071,408

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Solution

The third proportional to 1,927,176 and 4,071,408 is: 8,601,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,176 : 4,071,408 = 4,071,408 : x
  2. Step 2: Convert to fraction form
    1,927,176/4,071,408 = 4,071,408/x
  3. Step 3: Cross multiply
    1,927,176x = 4,071,408 × 4,071,408
  4. Step 4: Simplify right side
    1,927,176x = 16,576,363,102,464
  5. Step 5: Solve for x
    x = 16,576,363,102,464/1,927,176
  6. Step 6: Final answer
    x = 8,601,374.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.