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Finding the Third Proportional to 776,427 and 1,646,166

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Solution

The third proportional to 776,427 and 1,646,166 is: 3,490,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,427 : 1,646,166 = 1,646,166 : x
  2. Step 2: Convert to fraction form
    776,427/1,646,166 = 1,646,166/x
  3. Step 3: Cross multiply
    776,427x = 1,646,166 × 1,646,166
  4. Step 4: Simplify right side
    776,427x = 2,709,862,499,556
  5. Step 5: Solve for x
    x = 2,709,862,499,556/776,427
  6. Step 6: Final answer
    x = 3,490,170.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.