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Finding the Third Proportional to 845,286 and 1,237,584

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Solution

The third proportional to 845,286 and 1,237,584 is: 1,811,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,286 : 1,237,584 = 1,237,584 : x
  2. Step 2: Convert to fraction form
    845,286/1,237,584 = 1,237,584/x
  3. Step 3: Cross multiply
    845,286x = 1,237,584 × 1,237,584
  4. Step 4: Simplify right side
    845,286x = 1,531,614,157,056
  5. Step 5: Solve for x
    x = 1,531,614,157,056/845,286
  6. Step 6: Final answer
    x = 1,811,947.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.