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Finding the Third Proportional to 5,075,296 and 6,889,520

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Solution

The third proportional to 5,075,296 and 6,889,520 is: 9,352,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075,296 : 6,889,520 = 6,889,520 : x
  2. Step 2: Convert to fraction form
    5,075,296/6,889,520 = 6,889,520/x
  3. Step 3: Cross multiply
    5,075,296x = 6,889,520 × 6,889,520
  4. Step 4: Simplify right side
    5,075,296x = 47,465,485,830,400
  5. Step 5: Solve for x
    x = 47,465,485,830,400/5,075,296
  6. Step 6: Final answer
    x = 9,352,259.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.