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Finding the Third Proportional to 2,010,840 and 4,161,648

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Solution

The third proportional to 2,010,840 and 4,161,648 is: 8,612,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,840 : 4,161,648 = 4,161,648 : x
  2. Step 2: Convert to fraction form
    2,010,840/4,161,648 = 4,161,648/x
  3. Step 3: Cross multiply
    2,010,840x = 4,161,648 × 4,161,648
  4. Step 4: Simplify right side
    2,010,840x = 17,319,314,075,904
  5. Step 5: Solve for x
    x = 17,319,314,075,904/2,010,840
  6. Step 6: Final answer
    x = 8,612,974.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.