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Finding the Third Proportional to 2,145,350 and 3,180,913

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Solution

The third proportional to 2,145,350 and 3,180,913 is: 4,716,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,350 : 3,180,913 = 3,180,913 : x
  2. Step 2: Convert to fraction form
    2,145,350/3,180,913 = 3,180,913/x
  3. Step 3: Cross multiply
    2,145,350x = 3,180,913 × 3,180,913
  4. Step 4: Simplify right side
    2,145,350x = 10,118,207,513,569
  5. Step 5: Solve for x
    x = 10,118,207,513,569/2,145,350
  6. Step 6: Final answer
    x = 4,716,343.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.