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Finding the Third Proportional to 2,075,262 and 4,544,184

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Solution

The third proportional to 2,075,262 and 4,544,184 is: 9,950,362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,262 : 4,544,184 = 4,544,184 : x
  2. Step 2: Convert to fraction form
    2,075,262/4,544,184 = 4,544,184/x
  3. Step 3: Cross multiply
    2,075,262x = 4,544,184 × 4,544,184
  4. Step 4: Simplify right side
    2,075,262x = 20,649,608,225,856
  5. Step 5: Solve for x
    x = 20,649,608,225,856/2,075,262
  6. Step 6: Final answer
    x = 9,950,362.04

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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.