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Finding the Third Proportional to 849,696 and 1,848,803

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Solution

The third proportional to 849,696 and 1,848,803 is: 4,022,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,696 : 1,848,803 = 1,848,803 : x
  2. Step 2: Convert to fraction form
    849,696/1,848,803 = 1,848,803/x
  3. Step 3: Cross multiply
    849,696x = 1,848,803 × 1,848,803
  4. Step 4: Simplify right side
    849,696x = 3,418,072,532,809
  5. Step 5: Solve for x
    x = 3,418,072,532,809/849,696
  6. Step 6: Final answer
    x = 4,022,700.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.