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Finding the Third Proportional to 456,777 and 983,544

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Solution

The third proportional to 456,777 and 983,544 is: 2,117,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,777 : 983,544 = 983,544 : x
  2. Step 2: Convert to fraction form
    456,777/983,544 = 983,544/x
  3. Step 3: Cross multiply
    456,777x = 983,544 × 983,544
  4. Step 4: Simplify right side
    456,777x = 967,358,799,936
  5. Step 5: Solve for x
    x = 967,358,799,936/456,777
  6. Step 6: Final answer
    x = 2,117,792.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.