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Finding the Third Proportional to 1,203,421 and 2,643,052

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Solution

The third proportional to 1,203,421 and 2,643,052 is: 5,804,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,421 : 2,643,052 = 2,643,052 : x
  2. Step 2: Convert to fraction form
    1,203,421/2,643,052 = 2,643,052/x
  3. Step 3: Cross multiply
    1,203,421x = 2,643,052 × 2,643,052
  4. Step 4: Simplify right side
    1,203,421x = 6,985,723,874,704
  5. Step 5: Solve for x
    x = 6,985,723,874,704/1,203,421
  6. Step 6: Final answer
    x = 5,804,887.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.