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Finding the Third Proportional to 786,006 and 1,684,170

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Solution

The third proportional to 786,006 and 1,684,170 is: 3,608,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,006 : 1,684,170 = 1,684,170 : x
  2. Step 2: Convert to fraction form
    786,006/1,684,170 = 1,684,170/x
  3. Step 3: Cross multiply
    786,006x = 1,684,170 × 1,684,170
  4. Step 4: Simplify right side
    786,006x = 2,836,428,588,900
  5. Step 5: Solve for x
    x = 2,836,428,588,900/786,006
  6. Step 6: Final answer
    x = 3,608,660.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.