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Finding the Third Proportional to 1,082,052 and 2,314,200

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Solution

The third proportional to 1,082,052 and 2,314,200 is: 4,949,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,052 : 2,314,200 = 2,314,200 : x
  2. Step 2: Convert to fraction form
    1,082,052/2,314,200 = 2,314,200/x
  3. Step 3: Cross multiply
    1,082,052x = 2,314,200 × 2,314,200
  4. Step 4: Simplify right side
    1,082,052x = 5,355,521,640,000
  5. Step 5: Solve for x
    x = 5,355,521,640,000/1,082,052
  6. Step 6: Final answer
    x = 4,949,412.45

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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.