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Finding the Third Proportional to 2,186,947 and 3,078,334

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Solution

The third proportional to 2,186,947 and 3,078,334 is: 4,333,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,947 : 3,078,334 = 3,078,334 : x
  2. Step 2: Convert to fraction form
    2,186,947/3,078,334 = 3,078,334/x
  3. Step 3: Cross multiply
    2,186,947x = 3,078,334 × 3,078,334
  4. Step 4: Simplify right side
    2,186,947x = 9,476,140,215,556
  5. Step 5: Solve for x
    x = 9,476,140,215,556/2,186,947
  6. Step 6: Final answer
    x = 4,333,045.21

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.