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Finding the Third Proportional to 788,645.25 and 1,675,730.25

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Solution

The third proportional to 788,645.25 and 1,675,730.25 is: 3,560,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,645.25 : 1,675,730.25 = 1,675,730.25 : x
  2. Step 2: Convert to fraction form
    788,645.25/1,675,730.25 = 1,675,730.25/x
  3. Step 3: Cross multiply
    788,645.25x = 1,675,730.25 × 1,675,730.25
  4. Step 4: Simplify right side
    788,645.25x = 2,808,071,870,765.06
  5. Step 5: Solve for x
    x = 2,808,071,870,765.06/788,645.25
  6. Step 6: Final answer
    x = 3,560,627.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.