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Finding the Third Proportional to 821,754 and 1,234,570

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Solution

The third proportional to 821,754 and 1,234,570 is: 1,854,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,754 : 1,234,570 = 1,234,570 : x
  2. Step 2: Convert to fraction form
    821,754/1,234,570 = 1,234,570/x
  3. Step 3: Cross multiply
    821,754x = 1,234,570 × 1,234,570
  4. Step 4: Simplify right side
    821,754x = 1,524,163,084,900
  5. Step 5: Solve for x
    x = 1,524,163,084,900/821,754
  6. Step 6: Final answer
    x = 1,854,768.08

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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.