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Finding the Third Proportional to 2,813,985 and 4,277,844

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Solution

The third proportional to 2,813,985 and 4,277,844 is: 6,503,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813,985 : 4,277,844 = 4,277,844 : x
  2. Step 2: Convert to fraction form
    2,813,985/4,277,844 = 4,277,844/x
  3. Step 3: Cross multiply
    2,813,985x = 4,277,844 × 4,277,844
  4. Step 4: Simplify right side
    2,813,985x = 18,299,949,288,336
  5. Step 5: Solve for x
    x = 18,299,949,288,336/2,813,985
  6. Step 6: Final answer
    x = 6,503,214.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.