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Finding the Third Proportional to 1,288,047 and 2,797,527

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Solution

The third proportional to 1,288,047 and 2,797,527 is: 6,075,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,047 : 2,797,527 = 2,797,527 : x
  2. Step 2: Convert to fraction form
    1,288,047/2,797,527 = 2,797,527/x
  3. Step 3: Cross multiply
    1,288,047x = 2,797,527 × 2,797,527
  4. Step 4: Simplify right side
    1,288,047x = 7,826,157,315,729
  5. Step 5: Solve for x
    x = 7,826,157,315,729/1,288,047
  6. Step 6: Final answer
    x = 6,075,987.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.