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Finding the Third Proportional to 1,826,728.88 and 2,783,180.25

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Solution

The third proportional to 1,826,728.88 and 2,783,180.25 is: 4,240,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826,728.88 : 2,783,180.25 = 2,783,180.25 : x
  2. Step 2: Convert to fraction form
    1,826,728.88/2,783,180.25 = 2,783,180.25/x
  3. Step 3: Cross multiply
    1,826,728.88x = 2,783,180.25 × 2,783,180.25
  4. Step 4: Simplify right side
    1,826,728.88x = 7,746,092,303,990.06
  5. Step 5: Solve for x
    x = 7,746,092,303,990.06/1,826,728.88
  6. Step 6: Final answer
    x = 4,240,417.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.