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Finding the Third Proportional to 837,542.50 and 1,834,583

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Solution

The third proportional to 837,542.50 and 1,834,583 is: 4,018,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,542.50 : 1,834,583 = 1,834,583 : x
  2. Step 2: Convert to fraction form
    837,542.50/1,834,583 = 1,834,583/x
  3. Step 3: Cross multiply
    837,542.50x = 1,834,583 × 1,834,583
  4. Step 4: Simplify right side
    837,542.50x = 3,365,694,783,889
  5. Step 5: Solve for x
    x = 3,365,694,783,889/837,542.50
  6. Step 6: Final answer
    x = 4,018,536.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.