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Finding the Third Proportional to 786,021 and 1,684,101

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Solution

The third proportional to 786,021 and 1,684,101 is: 3,608,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,021 : 1,684,101 = 1,684,101 : x
  2. Step 2: Convert to fraction form
    786,021/1,684,101 = 1,684,101/x
  3. Step 3: Cross multiply
    786,021x = 1,684,101 × 1,684,101
  4. Step 4: Simplify right side
    786,021x = 2,836,196,178,201
  5. Step 5: Solve for x
    x = 2,836,196,178,201/786,021
  6. Step 6: Final answer
    x = 3,608,295.68

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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.