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Finding the Third Proportional to 1,740,265.50 and 3,737,598

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Solution

The third proportional to 1,740,265.50 and 3,737,598 is: 8,027,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,265.50 : 3,737,598 = 3,737,598 : x
  2. Step 2: Convert to fraction form
    1,740,265.50/3,737,598 = 3,737,598/x
  3. Step 3: Cross multiply
    1,740,265.50x = 3,737,598 × 3,737,598
  4. Step 4: Simplify right side
    1,740,265.50x = 13,969,638,809,604
  5. Step 5: Solve for x
    x = 13,969,638,809,604/1,740,265.50
  6. Step 6: Final answer
    x = 8,027,303.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.