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Finding the Third Proportional to 823,894.03 and 1,235,032.95

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Solution

The third proportional to 823,894.03 and 1,235,032.95 is: 1,851,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,894.03 : 1,235,032.95 = 1,235,032.95 : x
  2. Step 2: Convert to fraction form
    823,894.03/1,235,032.95 = 1,235,032.95/x
  3. Step 3: Cross multiply
    823,894.03x = 1,235,032.95 × 1,235,032.95
  4. Step 4: Simplify right side
    823,894.03x = 1,525,306,376,007.27
  5. Step 5: Solve for x
    x = 1,525,306,376,007.27/823,894.03
  6. Step 6: Final answer
    x = 1,851,338.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.