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Finding the Third Proportional to 849,829.50 and 1,835,383.50

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Solution

The third proportional to 849,829.50 and 1,835,383.50 is: 3,963,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,829.50 : 1,835,383.50 = 1,835,383.50 : x
  2. Step 2: Convert to fraction form
    849,829.50/1,835,383.50 = 1,835,383.50/x
  3. Step 3: Cross multiply
    849,829.50x = 1,835,383.50 × 1,835,383.50
  4. Step 4: Simplify right side
    849,829.50x = 3,368,632,592,072.25
  5. Step 5: Solve for x
    x = 3,368,632,592,072.25/849,829.50
  6. Step 6: Final answer
    x = 3,963,892.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.