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Finding the Third Proportional to 1,406,025 and 2,099,835.56

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Solution

The third proportional to 1,406,025 and 2,099,835.56 is: 3,136,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,025 : 2,099,835.56 = 2,099,835.56 : x
  2. Step 2: Convert to fraction form
    1,406,025/2,099,835.56 = 2,099,835.56/x
  3. Step 3: Cross multiply
    1,406,025x = 2,099,835.56 × 2,099,835.56
  4. Step 4: Simplify right side
    1,406,025x = 4,409,309,389,539.69
  5. Step 5: Solve for x
    x = 4,409,309,389,539.69/1,406,025
  6. Step 6: Final answer
    x = 3,136,010.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.