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Finding the Third Proportional to 1,849,396 and 3,973,976

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Solution

The third proportional to 1,849,396 and 3,973,976 is: 8,539,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,396 : 3,973,976 = 3,973,976 : x
  2. Step 2: Convert to fraction form
    1,849,396/3,973,976 = 3,973,976/x
  3. Step 3: Cross multiply
    1,849,396x = 3,973,976 × 3,973,976
  4. Step 4: Simplify right side
    1,849,396x = 15,792,485,248,576
  5. Step 5: Solve for x
    x = 15,792,485,248,576/1,849,396
  6. Step 6: Final answer
    x = 8,539,266.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.