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Finding the Third Proportional to 854,893 and 1,857,946

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Solution

The third proportional to 854,893 and 1,857,946 is: 4,037,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,893 : 1,857,946 = 1,857,946 : x
  2. Step 2: Convert to fraction form
    854,893/1,857,946 = 1,857,946/x
  3. Step 3: Cross multiply
    854,893x = 1,857,946 × 1,857,946
  4. Step 4: Simplify right side
    854,893x = 3,451,963,338,916
  5. Step 5: Solve for x
    x = 3,451,963,338,916/854,893
  6. Step 6: Final answer
    x = 4,037,889.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.