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Finding the Third Proportional to 2,078,736 and 4,444,746

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Solution

The third proportional to 2,078,736 and 4,444,746 is: 9,503,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,736 : 4,444,746 = 4,444,746 : x
  2. Step 2: Convert to fraction form
    2,078,736/4,444,746 = 4,444,746/x
  3. Step 3: Cross multiply
    2,078,736x = 4,444,746 × 4,444,746
  4. Step 4: Simplify right side
    2,078,736x = 19,755,767,004,516
  5. Step 5: Solve for x
    x = 19,755,767,004,516/2,078,736
  6. Step 6: Final answer
    x = 9,503,740.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.