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Finding the Third Proportional to 4,873,223 and 7,575,620

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Solution

The third proportional to 4,873,223 and 7,575,620 is: 11,776,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873,223 : 7,575,620 = 7,575,620 : x
  2. Step 2: Convert to fraction form
    4,873,223/7,575,620 = 7,575,620/x
  3. Step 3: Cross multiply
    4,873,223x = 7,575,620 × 7,575,620
  4. Step 4: Simplify right side
    4,873,223x = 57,390,018,384,400
  5. Step 5: Solve for x
    x = 57,390,018,384,400/4,873,223
  6. Step 6: Final answer
    x = 11,776,604.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.