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Finding the Third Proportional to 683,164.13 and 1,477,774.13

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Solution

The third proportional to 683,164.13 and 1,477,774.13 is: 3,196,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,164.13 : 1,477,774.13 = 1,477,774.13 : x
  2. Step 2: Convert to fraction form
    683,164.13/1,477,774.13 = 1,477,774.13/x
  3. Step 3: Cross multiply
    683,164.13x = 1,477,774.13 × 1,477,774.13
  4. Step 4: Simplify right side
    683,164.13x = 2,183,816,364,519.52
  5. Step 5: Solve for x
    x = 2,183,816,364,519.52/683,164.13
  6. Step 6: Final answer
    x = 3,196,620.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.