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Finding the Third Proportional to 437,582 and 967,018

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Solution

The third proportional to 437,582 and 967,018 is: 2,137,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,582 : 967,018 = 967,018 : x
  2. Step 2: Convert to fraction form
    437,582/967,018 = 967,018/x
  3. Step 3: Cross multiply
    437,582x = 967,018 × 967,018
  4. Step 4: Simplify right side
    437,582x = 935,123,812,324
  5. Step 5: Solve for x
    x = 935,123,812,324/437,582
  6. Step 6: Final answer
    x = 2,137,025.32

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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.