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Finding the Third Proportional to 842,987 and 1,846,405

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Solution

The third proportional to 842,987 and 1,846,405 is: 4,044,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,987 : 1,846,405 = 1,846,405 : x
  2. Step 2: Convert to fraction form
    842,987/1,846,405 = 1,846,405/x
  3. Step 3: Cross multiply
    842,987x = 1,846,405 × 1,846,405
  4. Step 4: Simplify right side
    842,987x = 3,409,211,424,025
  5. Step 5: Solve for x
    x = 3,409,211,424,025/842,987
  6. Step 6: Final answer
    x = 4,044,204.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.