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Finding the Third Proportional to 2,118,006 and 4,640,334

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Solution

The third proportional to 2,118,006 and 4,640,334 is: 10,166,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,006 : 4,640,334 = 4,640,334 : x
  2. Step 2: Convert to fraction form
    2,118,006/4,640,334 = 4,640,334/x
  3. Step 3: Cross multiply
    2,118,006x = 4,640,334 × 4,640,334
  4. Step 4: Simplify right side
    2,118,006x = 21,532,699,631,556
  5. Step 5: Solve for x
    x = 21,532,699,631,556/2,118,006
  6. Step 6: Final answer
    x = 10,166,496.05

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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.