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Finding the Third Proportional to 2,437,075 and 3,407,006

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Solution

The third proportional to 2,437,075 and 3,407,006 is: 4,762,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437,075 : 3,407,006 = 3,407,006 : x
  2. Step 2: Convert to fraction form
    2,437,075/3,407,006 = 3,407,006/x
  3. Step 3: Cross multiply
    2,437,075x = 3,407,006 × 3,407,006
  4. Step 4: Simplify right side
    2,437,075x = 11,607,689,884,036
  5. Step 5: Solve for x
    x = 11,607,689,884,036/2,437,075
  6. Step 6: Final answer
    x = 4,762,959.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.