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Finding the Third Proportional to 1,223,825 and 2,651,002

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Solution

The third proportional to 1,223,825 and 2,651,002 is: 5,742,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,825 : 2,651,002 = 2,651,002 : x
  2. Step 2: Convert to fraction form
    1,223,825/2,651,002 = 2,651,002/x
  3. Step 3: Cross multiply
    1,223,825x = 2,651,002 × 2,651,002
  4. Step 4: Simplify right side
    1,223,825x = 7,027,811,604,004
  5. Step 5: Solve for x
    x = 7,027,811,604,004/1,223,825
  6. Step 6: Final answer
    x = 5,742,497.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.