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Finding the Third Proportional to 1,973,405 and 4,315,867

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Solution

The third proportional to 1,973,405 and 4,315,867 is: 9,438,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,405 : 4,315,867 = 4,315,867 : x
  2. Step 2: Convert to fraction form
    1,973,405/4,315,867 = 4,315,867/x
  3. Step 3: Cross multiply
    1,973,405x = 4,315,867 × 4,315,867
  4. Step 4: Simplify right side
    1,973,405x = 18,626,707,961,689
  5. Step 5: Solve for x
    x = 18,626,707,961,689/1,973,405
  6. Step 6: Final answer
    x = 9,438,867.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.