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Finding the Third Proportional to 994,491 and 2,147,447

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Solution

The third proportional to 994,491 and 2,147,447 is: 4,637,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,491 : 2,147,447 = 2,147,447 : x
  2. Step 2: Convert to fraction form
    994,491/2,147,447 = 2,147,447/x
  3. Step 3: Cross multiply
    994,491x = 2,147,447 × 2,147,447
  4. Step 4: Simplify right side
    994,491x = 4,611,528,617,809
  5. Step 5: Solve for x
    x = 4,611,528,617,809/994,491
  6. Step 6: Final answer
    x = 4,637,074.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.