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Finding the Third Proportional to 714,106 and 979,206

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Solution

The third proportional to 714,106 and 979,206 is: 1,342,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,106 : 979,206 = 979,206 : x
  2. Step 2: Convert to fraction form
    714,106/979,206 = 979,206/x
  3. Step 3: Cross multiply
    714,106x = 979,206 × 979,206
  4. Step 4: Simplify right side
    714,106x = 958,844,390,436
  5. Step 5: Solve for x
    x = 958,844,390,436/714,106
  6. Step 6: Final answer
    x = 1,342,719.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.