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Finding the Third Proportional to 2,047,856 and 4,550,240

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Solution

The third proportional to 2,047,856 and 4,550,240 is: 10,110,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,856 : 4,550,240 = 4,550,240 : x
  2. Step 2: Convert to fraction form
    2,047,856/4,550,240 = 4,550,240/x
  3. Step 3: Cross multiply
    2,047,856x = 4,550,240 × 4,550,240
  4. Step 4: Simplify right side
    2,047,856x = 20,704,684,057,600
  5. Step 5: Solve for x
    x = 20,704,684,057,600/2,047,856
  6. Step 6: Final answer
    x = 10,110,419.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.