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Finding the Third Proportional to 1,477,346.03 and 3,234,944.14

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Solution

The third proportional to 1,477,346.03 and 3,234,944.14 is: 7,083,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,346.03 : 3,234,944.14 = 3,234,944.14 : x
  2. Step 2: Convert to fraction form
    1,477,346.03/3,234,944.14 = 3,234,944.14/x
  3. Step 3: Cross multiply
    1,477,346.03x = 3,234,944.14 × 3,234,944.14
  4. Step 4: Simplify right side
    1,477,346.03x = 10,464,863,618,236.70
  5. Step 5: Solve for x
    x = 10,464,863,618,236.70/1,477,346.03
  6. Step 6: Final answer
    x = 7,083,556.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.