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Finding the Third Proportional to 1,410,051 and 2,894,764.50

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Solution

The third proportional to 1,410,051 and 2,894,764.50 is: 5,942,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,051 : 2,894,764.50 = 2,894,764.50 : x
  2. Step 2: Convert to fraction form
    1,410,051/2,894,764.50 = 2,894,764.50/x
  3. Step 3: Cross multiply
    1,410,051x = 2,894,764.50 × 2,894,764.50
  4. Step 4: Simplify right side
    1,410,051x = 8,379,661,510,460.25
  5. Step 5: Solve for x
    x = 8,379,661,510,460.25/1,410,051
  6. Step 6: Final answer
    x = 5,942,807.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.