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Finding the Third Proportional to 842,685 and 1,843,023

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Solution

The third proportional to 842,685 and 1,843,023 is: 4,030,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,685 : 1,843,023 = 1,843,023 : x
  2. Step 2: Convert to fraction form
    842,685/1,843,023 = 1,843,023/x
  3. Step 3: Cross multiply
    842,685x = 1,843,023 × 1,843,023
  4. Step 4: Simplify right side
    842,685x = 3,396,733,778,529
  5. Step 5: Solve for x
    x = 3,396,733,778,529/842,685
  6. Step 6: Final answer
    x = 4,030,846.38

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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.