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Finding the Third Proportional to 1,943,076 and 2,941,722

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Solution

The third proportional to 1,943,076 and 2,941,722 is: 4,453,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943,076 : 2,941,722 = 2,941,722 : x
  2. Step 2: Convert to fraction form
    1,943,076/2,941,722 = 2,941,722/x
  3. Step 3: Cross multiply
    1,943,076x = 2,941,722 × 2,941,722
  4. Step 4: Simplify right side
    1,943,076x = 8,653,728,325,284
  5. Step 5: Solve for x
    x = 8,653,728,325,284/1,943,076
  6. Step 6: Final answer
    x = 4,453,623.19

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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.