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Finding the Third Proportional to 852,234 and 1,864,836

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Solution

The third proportional to 852,234 and 1,864,836 is: 4,080,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,234 : 1,864,836 = 1,864,836 : x
  2. Step 2: Convert to fraction form
    852,234/1,864,836 = 1,864,836/x
  3. Step 3: Cross multiply
    852,234x = 1,864,836 × 1,864,836
  4. Step 4: Simplify right side
    852,234x = 3,477,613,306,896
  5. Step 5: Solve for x
    x = 3,477,613,306,896/852,234
  6. Step 6: Final answer
    x = 4,080,585.04

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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.