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Finding the Third Proportional to 1,223,709 and 2,624,562

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Solution

The third proportional to 1,223,709 and 2,624,562 is: 5,629,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,709 : 2,624,562 = 2,624,562 : x
  2. Step 2: Convert to fraction form
    1,223,709/2,624,562 = 2,624,562/x
  3. Step 3: Cross multiply
    1,223,709x = 2,624,562 × 2,624,562
  4. Step 4: Simplify right side
    1,223,709x = 6,888,325,691,844
  5. Step 5: Solve for x
    x = 6,888,325,691,844/1,223,709
  6. Step 6: Final answer
    x = 5,629,055.35

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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.