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Finding the Third Proportional to 1,072,992 and 2,234,136

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Solution

The third proportional to 1,072,992 and 2,234,136 is: 4,651,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,992 : 2,234,136 = 2,234,136 : x
  2. Step 2: Convert to fraction form
    1,072,992/2,234,136 = 2,234,136/x
  3. Step 3: Cross multiply
    1,072,992x = 2,234,136 × 2,234,136
  4. Step 4: Simplify right side
    1,072,992x = 4,991,363,666,496
  5. Step 5: Solve for x
    x = 4,991,363,666,496/1,072,992
  6. Step 6: Final answer
    x = 4,651,818.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.