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Finding the Third Proportional to 2,103,632 and 4,607,698

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Solution

The third proportional to 2,103,632 and 4,607,698 is: 10,092,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,632 : 4,607,698 = 4,607,698 : x
  2. Step 2: Convert to fraction form
    2,103,632/4,607,698 = 4,607,698/x
  3. Step 3: Cross multiply
    2,103,632x = 4,607,698 × 4,607,698
  4. Step 4: Simplify right side
    2,103,632x = 21,230,880,859,204
  5. Step 5: Solve for x
    x = 21,230,880,859,204/2,103,632
  6. Step 6: Final answer
    x = 10,092,488.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.