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Finding the Third Proportional to 1,892,500 and 2,835,938

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Solution

The third proportional to 1,892,500 and 2,835,938 is: 4,249,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892,500 : 2,835,938 = 2,835,938 : x
  2. Step 2: Convert to fraction form
    1,892,500/2,835,938 = 2,835,938/x
  3. Step 3: Cross multiply
    1,892,500x = 2,835,938 × 2,835,938
  4. Step 4: Simplify right side
    1,892,500x = 8,042,544,339,844
  5. Step 5: Solve for x
    x = 8,042,544,339,844/1,892,500
  6. Step 6: Final answer
    x = 4,249,693.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.