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Finding the Third Proportional to 450,171 and 975,078

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Solution

The third proportional to 450,171 and 975,078 is: 2,112,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,171 : 975,078 = 975,078 : x
  2. Step 2: Convert to fraction form
    450,171/975,078 = 975,078/x
  3. Step 3: Cross multiply
    450,171x = 975,078 × 975,078
  4. Step 4: Simplify right side
    450,171x = 950,777,106,084
  5. Step 5: Solve for x
    x = 950,777,106,084/450,171
  6. Step 6: Final answer
    x = 2,112,035.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.