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Finding the Third Proportional to 1,424,075 and 2,136,395.50

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Solution

The third proportional to 1,424,075 and 2,136,395.50 is: 3,205,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,075 : 2,136,395.50 = 2,136,395.50 : x
  2. Step 2: Convert to fraction form
    1,424,075/2,136,395.50 = 2,136,395.50/x
  3. Step 3: Cross multiply
    1,424,075x = 2,136,395.50 × 2,136,395.50
  4. Step 4: Simplify right side
    1,424,075x = 4,564,185,732,420.25
  5. Step 5: Solve for x
    x = 4,564,185,732,420.25/1,424,075
  6. Step 6: Final answer
    x = 3,205,017.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.