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Finding the Third Proportional to 1,870,400 and 2,892,896

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Solution

The third proportional to 1,870,400 and 2,892,896 is: 4,474,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,400 : 2,892,896 = 2,892,896 : x
  2. Step 2: Convert to fraction form
    1,870,400/2,892,896 = 2,892,896/x
  3. Step 3: Cross multiply
    1,870,400x = 2,892,896 × 2,892,896
  4. Step 4: Simplify right side
    1,870,400x = 8,368,847,266,816
  5. Step 5: Solve for x
    x = 8,368,847,266,816/1,870,400
  6. Step 6: Final answer
    x = 4,474,362.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.