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Finding the Third Proportional to 806,580 and 1,238,069.25

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Solution

The third proportional to 806,580 and 1,238,069.25 is: 1,900,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,580 : 1,238,069.25 = 1,238,069.25 : x
  2. Step 2: Convert to fraction form
    806,580/1,238,069.25 = 1,238,069.25/x
  3. Step 3: Cross multiply
    806,580x = 1,238,069.25 × 1,238,069.25
  4. Step 4: Simplify right side
    806,580x = 1,532,815,467,795.56
  5. Step 5: Solve for x
    x = 1,532,815,467,795.56/806,580
  6. Step 6: Final answer
    x = 1,900,388.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.