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Finding the Third Proportional to 776,462 and 1,646,224

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Solution

The third proportional to 776,462 and 1,646,224 is: 3,490,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,462 : 1,646,224 = 1,646,224 : x
  2. Step 2: Convert to fraction form
    776,462/1,646,224 = 1,646,224/x
  3. Step 3: Cross multiply
    776,462x = 1,646,224 × 1,646,224
  4. Step 4: Simplify right side
    776,462x = 2,710,053,458,176
  5. Step 5: Solve for x
    x = 2,710,053,458,176/776,462
  6. Step 6: Final answer
    x = 3,490,258.97

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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.