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Finding the Third Proportional to 1,837,583 and 2,950,100

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Solution

The third proportional to 1,837,583 and 2,950,100 is: 4,736,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,583 : 2,950,100 = 2,950,100 : x
  2. Step 2: Convert to fraction form
    1,837,583/2,950,100 = 2,950,100/x
  3. Step 3: Cross multiply
    1,837,583x = 2,950,100 × 2,950,100
  4. Step 4: Simplify right side
    1,837,583x = 8,703,090,010,000
  5. Step 5: Solve for x
    x = 8,703,090,010,000/1,837,583
  6. Step 6: Final answer
    x = 4,736,161.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.