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Finding the Third Proportional to 1,834,826 and 2,834,050

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Solution

The third proportional to 1,834,826 and 2,834,050 is: 4,377,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,826 : 2,834,050 = 2,834,050 : x
  2. Step 2: Convert to fraction form
    1,834,826/2,834,050 = 2,834,050/x
  3. Step 3: Cross multiply
    1,834,826x = 2,834,050 × 2,834,050
  4. Step 4: Simplify right side
    1,834,826x = 8,031,839,402,500
  5. Step 5: Solve for x
    x = 8,031,839,402,500/1,834,826
  6. Step 6: Final answer
    x = 4,377,439.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.