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Finding the Third Proportional to 450,244 and 960,752

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Solution

The third proportional to 450,244 and 960,752 is: 2,050,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,244 : 960,752 = 960,752 : x
  2. Step 2: Convert to fraction form
    450,244/960,752 = 960,752/x
  3. Step 3: Cross multiply
    450,244x = 960,752 × 960,752
  4. Step 4: Simplify right side
    450,244x = 923,044,405,504
  5. Step 5: Solve for x
    x = 923,044,405,504/450,244
  6. Step 6: Final answer
    x = 2,050,098.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.