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Finding the Third Proportional to 1,179,969 and 2,574,210

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Solution

The third proportional to 1,179,969 and 2,574,210 is: 5,615,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,969 : 2,574,210 = 2,574,210 : x
  2. Step 2: Convert to fraction form
    1,179,969/2,574,210 = 2,574,210/x
  3. Step 3: Cross multiply
    1,179,969x = 2,574,210 × 2,574,210
  4. Step 4: Simplify right side
    1,179,969x = 6,626,557,124,100
  5. Step 5: Solve for x
    x = 6,626,557,124,100/1,179,969
  6. Step 6: Final answer
    x = 5,615,873.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.