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Finding the Third Proportional to 1,277,075 and 2,727,651

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Solution

The third proportional to 1,277,075 and 2,727,651 is: 5,825,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,075 : 2,727,651 = 2,727,651 : x
  2. Step 2: Convert to fraction form
    1,277,075/2,727,651 = 2,727,651/x
  3. Step 3: Cross multiply
    1,277,075x = 2,727,651 × 2,727,651
  4. Step 4: Simplify right side
    1,277,075x = 7,440,079,977,801
  5. Step 5: Solve for x
    x = 7,440,079,977,801/1,277,075
  6. Step 6: Final answer
    x = 5,825,875.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.