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Finding the Third Proportional to 1,802,826.25 and 2,698,623.25

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Solution

The third proportional to 1,802,826.25 and 2,698,623.25 is: 4,039,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802,826.25 : 2,698,623.25 = 2,698,623.25 : x
  2. Step 2: Convert to fraction form
    1,802,826.25/2,698,623.25 = 2,698,623.25/x
  3. Step 3: Cross multiply
    1,802,826.25x = 2,698,623.25 × 2,698,623.25
  4. Step 4: Simplify right side
    1,802,826.25x = 7,282,567,445,440.56
  5. Step 5: Solve for x
    x = 7,282,567,445,440.56/1,802,826.25
  6. Step 6: Final answer
    x = 4,039,528.18

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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.