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Finding the Third Proportional to 843,670 and 1,856,178

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Solution

The third proportional to 843,670 and 1,856,178 is: 4,083,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,670 : 1,856,178 = 1,856,178 : x
  2. Step 2: Convert to fraction form
    843,670/1,856,178 = 1,856,178/x
  3. Step 3: Cross multiply
    843,670x = 1,856,178 × 1,856,178
  4. Step 4: Simplify right side
    843,670x = 3,445,396,767,684
  5. Step 5: Solve for x
    x = 3,445,396,767,684/843,670
  6. Step 6: Final answer
    x = 4,083,820.41

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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.