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Finding the Third Proportional to 1,229,230.69 and 1,852,047.28

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Solution

The third proportional to 1,229,230.69 and 1,852,047.28 is: 2,790,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,230.69 : 1,852,047.28 = 1,852,047.28 : x
  2. Step 2: Convert to fraction form
    1,229,230.69/1,852,047.28 = 1,852,047.28/x
  3. Step 3: Cross multiply
    1,229,230.69x = 1,852,047.28 × 1,852,047.28
  4. Step 4: Simplify right side
    1,229,230.69x = 3,430,079,131,985.52
  5. Step 5: Solve for x
    x = 3,430,079,131,985.52/1,229,230.69
  6. Step 6: Final answer
    x = 2,790,427.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.