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Finding the Third Proportional to 450,026 and 978,964

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Solution

The third proportional to 450,026 and 978,964 is: 2,129,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,026 : 978,964 = 978,964 : x
  2. Step 2: Convert to fraction form
    450,026/978,964 = 978,964/x
  3. Step 3: Cross multiply
    450,026x = 978,964 × 978,964
  4. Step 4: Simplify right side
    450,026x = 958,370,513,296
  5. Step 5: Solve for x
    x = 958,370,513,296/450,026
  6. Step 6: Final answer
    x = 2,129,589.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.