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Finding the Third Proportional to 2,864,572 and 6,024,056

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Solution

The third proportional to 2,864,572 and 6,024,056 is: 12,668,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,572 : 6,024,056 = 6,024,056 : x
  2. Step 2: Convert to fraction form
    2,864,572/6,024,056 = 6,024,056/x
  3. Step 3: Cross multiply
    2,864,572x = 6,024,056 × 6,024,056
  4. Step 4: Simplify right side
    2,864,572x = 36,289,250,691,136
  5. Step 5: Solve for x
    x = 36,289,250,691,136/2,864,572
  6. Step 6: Final answer
    x = 12,668,297.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.