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Finding the Third Proportional to 2,462,820 and 5,389,516

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Solution

The third proportional to 2,462,820 and 5,389,516 is: 11,794,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,820 : 5,389,516 = 5,389,516 : x
  2. Step 2: Convert to fraction form
    2,462,820/5,389,516 = 5,389,516/x
  3. Step 3: Cross multiply
    2,462,820x = 5,389,516 × 5,389,516
  4. Step 4: Simplify right side
    2,462,820x = 29,046,882,714,256
  5. Step 5: Solve for x
    x = 29,046,882,714,256/2,462,820
  6. Step 6: Final answer
    x = 11,794,155.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.