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Finding the Third Proportional to 1,580,234 and 3,468,052

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Solution

The third proportional to 1,580,234 and 3,468,052 is: 7,611,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,234 : 3,468,052 = 3,468,052 : x
  2. Step 2: Convert to fraction form
    1,580,234/3,468,052 = 3,468,052/x
  3. Step 3: Cross multiply
    1,580,234x = 3,468,052 × 3,468,052
  4. Step 4: Simplify right side
    1,580,234x = 12,027,384,674,704
  5. Step 5: Solve for x
    x = 12,027,384,674,704/1,580,234
  6. Step 6: Final answer
    x = 7,611,141.56

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