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Finding the Third Proportional to 837,711.50 and 1,829,047

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Solution

The third proportional to 837,711.50 and 1,829,047 is: 3,993,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,711.50 : 1,829,047 = 1,829,047 : x
  2. Step 2: Convert to fraction form
    837,711.50/1,829,047 = 1,829,047/x
  3. Step 3: Cross multiply
    837,711.50x = 1,829,047 × 1,829,047
  4. Step 4: Simplify right side
    837,711.50x = 3,345,412,928,209
  5. Step 5: Solve for x
    x = 3,345,412,928,209/837,711.50
  6. Step 6: Final answer
    x = 3,993,514.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.