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Finding the Third Proportional to 437,610 and 967,074

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Solution

The third proportional to 437,610 and 967,074 is: 2,137,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,610 : 967,074 = 967,074 : x
  2. Step 2: Convert to fraction form
    437,610/967,074 = 967,074/x
  3. Step 3: Cross multiply
    437,610x = 967,074 × 967,074
  4. Step 4: Simplify right side
    437,610x = 935,232,121,476
  5. Step 5: Solve for x
    x = 935,232,121,476/437,610
  6. Step 6: Final answer
    x = 2,137,136.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.