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Finding the Third Proportional to 2,075,180 and 4,544,020

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Solution

The third proportional to 2,075,180 and 4,544,020 is: 9,950,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,180 : 4,544,020 = 4,544,020 : x
  2. Step 2: Convert to fraction form
    2,075,180/4,544,020 = 4,544,020/x
  3. Step 3: Cross multiply
    2,075,180x = 4,544,020 × 4,544,020
  4. Step 4: Simplify right side
    2,075,180x = 20,648,117,760,400
  5. Step 5: Solve for x
    x = 20,648,117,760,400/2,075,180
  6. Step 6: Final answer
    x = 9,950,036.99

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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.