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Finding the Third Proportional to 442,378 and 967,547

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Solution

The third proportional to 442,378 and 967,547 is: 2,116,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,378 : 967,547 = 967,547 : x
  2. Step 2: Convert to fraction form
    442,378/967,547 = 967,547/x
  3. Step 3: Cross multiply
    442,378x = 967,547 × 967,547
  4. Step 4: Simplify right side
    442,378x = 936,147,197,209
  5. Step 5: Solve for x
    x = 936,147,197,209/442,378
  6. Step 6: Final answer
    x = 2,116,170.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.