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Finding the Third Proportional to 642,276 and 1,356,912

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Solution

The third proportional to 642,276 and 1,356,912 is: 2,866,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,276 : 1,356,912 = 1,356,912 : x
  2. Step 2: Convert to fraction form
    642,276/1,356,912 = 1,356,912/x
  3. Step 3: Cross multiply
    642,276x = 1,356,912 × 1,356,912
  4. Step 4: Simplify right side
    642,276x = 1,841,210,175,744
  5. Step 5: Solve for x
    x = 1,841,210,175,744/642,276
  6. Step 6: Final answer
    x = 2,866,696.21

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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.