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Finding the Third Proportional to 1,111,200 and 2,361,984

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Solution

The third proportional to 1,111,200 and 2,361,984 is: 5,020,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111,200 : 2,361,984 = 2,361,984 : x
  2. Step 2: Convert to fraction form
    1,111,200/2,361,984 = 2,361,984/x
  3. Step 3: Cross multiply
    1,111,200x = 2,361,984 × 2,361,984
  4. Step 4: Simplify right side
    1,111,200x = 5,578,968,416,256
  5. Step 5: Solve for x
    x = 5,578,968,416,256/1,111,200
  6. Step 6: Final answer
    x = 5,020,669.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.