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Finding the Third Proportional to 1,206,779.50 and 2,643,984

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Solution

The third proportional to 1,206,779.50 and 2,643,984 is: 5,792,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,779.50 : 2,643,984 = 2,643,984 : x
  2. Step 2: Convert to fraction form
    1,206,779.50/2,643,984 = 2,643,984/x
  3. Step 3: Cross multiply
    1,206,779.50x = 2,643,984 × 2,643,984
  4. Step 4: Simplify right side
    1,206,779.50x = 6,990,651,392,256
  5. Step 5: Solve for x
    x = 6,990,651,392,256/1,206,779.50
  6. Step 6: Final answer
    x = 5,792,815.83

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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.