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Finding the Third Proportional to 837,713 and 1,829,050.50

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Solution

The third proportional to 837,713 and 1,829,050.50 is: 3,993,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,713 : 1,829,050.50 = 1,829,050.50 : x
  2. Step 2: Convert to fraction form
    837,713/1,829,050.50 = 1,829,050.50/x
  3. Step 3: Cross multiply
    837,713x = 1,829,050.50 × 1,829,050.50
  4. Step 4: Simplify right side
    837,713x = 3,345,425,731,550.25
  5. Step 5: Solve for x
    x = 3,345,425,731,550.25/837,713
  6. Step 6: Final answer
    x = 3,993,522.52

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