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Finding the Third Proportional to 846,826 and 1,816,447

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Solution

The third proportional to 846,826 and 1,816,447 is: 3,896,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,826 : 1,816,447 = 1,816,447 : x
  2. Step 2: Convert to fraction form
    846,826/1,816,447 = 1,816,447/x
  3. Step 3: Cross multiply
    846,826x = 1,816,447 × 1,816,447
  4. Step 4: Simplify right side
    846,826x = 3,299,479,703,809
  5. Step 5: Solve for x
    x = 3,299,479,703,809/846,826
  6. Step 6: Final answer
    x = 3,896,290.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.