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Finding the Third Proportional to 1,648,834 and 2,622,865

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Solution

The third proportional to 1,648,834 and 2,622,865 is: 4,172,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,834 : 2,622,865 = 2,622,865 : x
  2. Step 2: Convert to fraction form
    1,648,834/2,622,865 = 2,622,865/x
  3. Step 3: Cross multiply
    1,648,834x = 2,622,865 × 2,622,865
  4. Step 4: Simplify right side
    1,648,834x = 6,879,420,808,225
  5. Step 5: Solve for x
    x = 6,879,420,808,225/1,648,834
  6. Step 6: Final answer
    x = 4,172,294.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.