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Finding the Third Proportional to 2,579,934 and 6,024,582

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Solution

The third proportional to 2,579,934 and 6,024,582 is: 14,068,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579,934 : 6,024,582 = 6,024,582 : x
  2. Step 2: Convert to fraction form
    2,579,934/6,024,582 = 6,024,582/x
  3. Step 3: Cross multiply
    2,579,934x = 6,024,582 × 6,024,582
  4. Step 4: Simplify right side
    2,579,934x = 36,295,588,274,724
  5. Step 5: Solve for x
    x = 36,295,588,274,724/2,579,934
  6. Step 6: Final answer
    x = 14,068,417.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.