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Finding the Third Proportional to 620,002 and 877,544

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Solution

The third proportional to 620,002 and 877,544 is: 1,242,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,002 : 877,544 = 877,544 : x
  2. Step 2: Convert to fraction form
    620,002/877,544 = 877,544/x
  3. Step 3: Cross multiply
    620,002x = 877,544 × 877,544
  4. Step 4: Simplify right side
    620,002x = 770,083,471,936
  5. Step 5: Solve for x
    x = 770,083,471,936/620,002
  6. Step 6: Final answer
    x = 1,242,066.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.