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Finding the Third Proportional to 968,146 and 2,104,206

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Solution

The third proportional to 968,146 and 2,104,206 is: 4,573,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,146 : 2,104,206 = 2,104,206 : x
  2. Step 2: Convert to fraction form
    968,146/2,104,206 = 2,104,206/x
  3. Step 3: Cross multiply
    968,146x = 2,104,206 × 2,104,206
  4. Step 4: Simplify right side
    968,146x = 4,427,682,890,436
  5. Step 5: Solve for x
    x = 4,427,682,890,436/968,146
  6. Step 6: Final answer
    x = 4,573,362.79

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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.