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Finding the Third Proportional to 2,183,013 and 4,592,218.50

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Solution

The third proportional to 2,183,013 and 4,592,218.50 is: 9,660,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,013 : 4,592,218.50 = 4,592,218.50 : x
  2. Step 2: Convert to fraction form
    2,183,013/4,592,218.50 = 4,592,218.50/x
  3. Step 3: Cross multiply
    2,183,013x = 4,592,218.50 × 4,592,218.50
  4. Step 4: Simplify right side
    2,183,013x = 21,088,470,751,742.25
  5. Step 5: Solve for x
    x = 21,088,470,751,742.25/2,183,013
  6. Step 6: Final answer
    x = 9,660,258.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.