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Finding the Third Proportional to 2,122,742 and 4,442,260

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Solution

The third proportional to 2,122,742 and 4,442,260 is: 9,296,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,742 : 4,442,260 = 4,442,260 : x
  2. Step 2: Convert to fraction form
    2,122,742/4,442,260 = 4,442,260/x
  3. Step 3: Cross multiply
    2,122,742x = 4,442,260 × 4,442,260
  4. Step 4: Simplify right side
    2,122,742x = 19,733,673,907,600
  5. Step 5: Solve for x
    x = 19,733,673,907,600/2,122,742
  6. Step 6: Final answer
    x = 9,296,312.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.