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Finding the Third Proportional to 2,267,766 and 4,934,106

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Solution

The third proportional to 2,267,766 and 4,934,106 is: 10,735,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,766 : 4,934,106 = 4,934,106 : x
  2. Step 2: Convert to fraction form
    2,267,766/4,934,106 = 4,934,106/x
  3. Step 3: Cross multiply
    2,267,766x = 4,934,106 × 4,934,106
  4. Step 4: Simplify right side
    2,267,766x = 24,345,402,019,236
  5. Step 5: Solve for x
    x = 24,345,402,019,236/2,267,766
  6. Step 6: Final answer
    x = 10,735,411.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.