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Finding the Third Proportional to 1,743,640 and 2,343,180

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Solution

The third proportional to 1,743,640 and 2,343,180 is: 3,148,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,640 : 2,343,180 = 2,343,180 : x
  2. Step 2: Convert to fraction form
    1,743,640/2,343,180 = 2,343,180/x
  3. Step 3: Cross multiply
    1,743,640x = 2,343,180 × 2,343,180
  4. Step 4: Simplify right side
    1,743,640x = 5,490,492,512,400
  5. Step 5: Solve for x
    x = 5,490,492,512,400/1,743,640
  6. Step 6: Final answer
    x = 3,148,868.18

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.