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Finding the Third Proportional to 941,640 and 1,421,260

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Solution

The third proportional to 941,640 and 1,421,260 is: 2,145,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,640 : 1,421,260 = 1,421,260 : x
  2. Step 2: Convert to fraction form
    941,640/1,421,260 = 1,421,260/x
  3. Step 3: Cross multiply
    941,640x = 1,421,260 × 1,421,260
  4. Step 4: Simplify right side
    941,640x = 2,019,979,987,600
  5. Step 5: Solve for x
    x = 2,019,979,987,600/941,640
  6. Step 6: Final answer
    x = 2,145,172.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.