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Finding the Third Proportional to 1,380,823 and 2,953,559

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Solution

The third proportional to 1,380,823 and 2,953,559 is: 6,317,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,823 : 2,953,559 = 2,953,559 : x
  2. Step 2: Convert to fraction form
    1,380,823/2,953,559 = 2,953,559/x
  3. Step 3: Cross multiply
    1,380,823x = 2,953,559 × 2,953,559
  4. Step 4: Simplify right side
    1,380,823x = 8,723,510,766,481
  5. Step 5: Solve for x
    x = 8,723,510,766,481/1,380,823
  6. Step 6: Final answer
    x = 6,317,616.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.