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Finding the Third Proportional to 385,846 and 846,388

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Solution

The third proportional to 385,846 and 846,388 is: 1,856,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,846 : 846,388 = 846,388 : x
  2. Step 2: Convert to fraction form
    385,846/846,388 = 846,388/x
  3. Step 3: Cross multiply
    385,846x = 846,388 × 846,388
  4. Step 4: Simplify right side
    385,846x = 716,372,646,544
  5. Step 5: Solve for x
    x = 716,372,646,544/385,846
  6. Step 6: Final answer
    x = 1,856,628.41

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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.