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Finding the Third Proportional to 524,763 and 1,122,476

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Solution

The third proportional to 524,763 and 1,122,476 is: 2,400,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,763 : 1,122,476 = 1,122,476 : x
  2. Step 2: Convert to fraction form
    524,763/1,122,476 = 1,122,476/x
  3. Step 3: Cross multiply
    524,763x = 1,122,476 × 1,122,476
  4. Step 4: Simplify right side
    524,763x = 1,259,952,370,576
  5. Step 5: Solve for x
    x = 1,259,952,370,576/524,763
  6. Step 6: Final answer
    x = 2,400,993.15

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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.