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Finding the Third Proportional to 2,102,868 and 4,603,770

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Solution

The third proportional to 2,102,868 and 4,603,770 is: 10,078,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,868 : 4,603,770 = 4,603,770 : x
  2. Step 2: Convert to fraction form
    2,102,868/4,603,770 = 4,603,770/x
  3. Step 3: Cross multiply
    2,102,868x = 4,603,770 × 4,603,770
  4. Step 4: Simplify right side
    2,102,868x = 21,194,698,212,900
  5. Step 5: Solve for x
    x = 21,194,698,212,900/2,102,868
  6. Step 6: Final answer
    x = 10,078,948.47

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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.