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Finding the Third Proportional to 2,896,574 and 4,051,509

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Solution

The third proportional to 2,896,574 and 4,051,509 is: 5,666,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896,574 : 4,051,509 = 4,051,509 : x
  2. Step 2: Convert to fraction form
    2,896,574/4,051,509 = 4,051,509/x
  3. Step 3: Cross multiply
    2,896,574x = 4,051,509 × 4,051,509
  4. Step 4: Simplify right side
    2,896,574x = 16,414,725,177,081
  5. Step 5: Solve for x
    x = 16,414,725,177,081/2,896,574
  6. Step 6: Final answer
    x = 5,666,944.87

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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.