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Finding the Third Proportional to 1,085,302 and 2,314,706

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Solution

The third proportional to 1,085,302 and 2,314,706 is: 4,936,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,302 : 2,314,706 = 2,314,706 : x
  2. Step 2: Convert to fraction form
    1,085,302/2,314,706 = 2,314,706/x
  3. Step 3: Cross multiply
    1,085,302x = 2,314,706 × 2,314,706
  4. Step 4: Simplify right side
    1,085,302x = 5,357,863,866,436
  5. Step 5: Solve for x
    x = 5,357,863,866,436/1,085,302
  6. Step 6: Final answer
    x = 4,936,749.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.