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Finding the Third Proportional to 508,213 and 1,072,796

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Solution

The third proportional to 508,213 and 1,072,796 is: 2,264,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,213 : 1,072,796 = 1,072,796 : x
  2. Step 2: Convert to fraction form
    508,213/1,072,796 = 1,072,796/x
  3. Step 3: Cross multiply
    508,213x = 1,072,796 × 1,072,796
  4. Step 4: Simplify right side
    508,213x = 1,150,891,257,616
  5. Step 5: Solve for x
    x = 1,150,891,257,616/508,213
  6. Step 6: Final answer
    x = 2,264,584.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.