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Finding the Third Proportional to 1,406,026 and 2,099,836.50

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Solution

The third proportional to 1,406,026 and 2,099,836.50 is: 3,136,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,026 : 2,099,836.50 = 2,099,836.50 : x
  2. Step 2: Convert to fraction form
    1,406,026/2,099,836.50 = 2,099,836.50/x
  3. Step 3: Cross multiply
    1,406,026x = 2,099,836.50 × 2,099,836.50
  4. Step 4: Simplify right side
    1,406,026x = 4,409,313,326,732.25
  5. Step 5: Solve for x
    x = 4,409,313,326,732.25/1,406,026
  6. Step 6: Final answer
    x = 3,136,011.23

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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.