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Finding the Third Proportional to 1,223,724 and 2,624,595

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Solution

The third proportional to 1,223,724 and 2,624,595 is: 5,629,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,724 : 2,624,595 = 2,624,595 : x
  2. Step 2: Convert to fraction form
    1,223,724/2,624,595 = 2,624,595/x
  3. Step 3: Cross multiply
    1,223,724x = 2,624,595 × 2,624,595
  4. Step 4: Simplify right side
    1,223,724x = 6,888,498,914,025
  5. Step 5: Solve for x
    x = 6,888,498,914,025/1,223,724
  6. Step 6: Final answer
    x = 5,629,127.90

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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.