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Finding the Third Proportional to 2,896,564 and 4,051,494

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Solution

The third proportional to 2,896,564 and 4,051,494 is: 5,666,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896,564 : 4,051,494 = 4,051,494 : x
  2. Step 2: Convert to fraction form
    2,896,564/4,051,494 = 4,051,494/x
  3. Step 3: Cross multiply
    2,896,564x = 4,051,494 × 4,051,494
  4. Step 4: Simplify right side
    2,896,564x = 16,414,603,632,036
  5. Step 5: Solve for x
    x = 16,414,603,632,036/2,896,564
  6. Step 6: Final answer
    x = 5,666,922.48

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.