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Finding the Third Proportional to 846,855 and 1,864,296

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Solution

The third proportional to 846,855 and 1,864,296 is: 4,104,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,855 : 1,864,296 = 1,864,296 : x
  2. Step 2: Convert to fraction form
    846,855/1,864,296 = 1,864,296/x
  3. Step 3: Cross multiply
    846,855x = 1,864,296 × 1,864,296
  4. Step 4: Simplify right side
    846,855x = 3,475,599,575,616
  5. Step 5: Solve for x
    x = 3,475,599,575,616/846,855
  6. Step 6: Final answer
    x = 4,104,125.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.