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Finding the Third Proportional to 843,063 and 1,264,614

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Solution

The third proportional to 843,063 and 1,264,614 is: 1,896,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,063 : 1,264,614 = 1,264,614 : x
  2. Step 2: Convert to fraction form
    843,063/1,264,614 = 1,264,614/x
  3. Step 3: Cross multiply
    843,063x = 1,264,614 × 1,264,614
  4. Step 4: Simplify right side
    843,063x = 1,599,248,568,996
  5. Step 5: Solve for x
    x = 1,599,248,568,996/843,063
  6. Step 6: Final answer
    x = 1,896,950.25

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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.