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Finding the Third Proportional to 1,742,148 and 3,643,974

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Solution

The third proportional to 1,742,148 and 3,643,974 is: 7,621,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,148 : 3,643,974 = 3,643,974 : x
  2. Step 2: Convert to fraction form
    1,742,148/3,643,974 = 3,643,974/x
  3. Step 3: Cross multiply
    1,742,148x = 3,643,974 × 3,643,974
  4. Step 4: Simplify right side
    1,742,148x = 13,278,546,512,676
  5. Step 5: Solve for x
    x = 13,278,546,512,676/1,742,148
  6. Step 6: Final answer
    x = 7,621,939.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.