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Finding the Third Proportional to 1,972,032 and 2,818,080

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Solution

The third proportional to 1,972,032 and 2,818,080 is: 4,027,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,032 : 2,818,080 = 2,818,080 : x
  2. Step 2: Convert to fraction form
    1,972,032/2,818,080 = 2,818,080/x
  3. Step 3: Cross multiply
    1,972,032x = 2,818,080 × 2,818,080
  4. Step 4: Simplify right side
    1,972,032x = 7,941,574,886,400
  5. Step 5: Solve for x
    x = 7,941,574,886,400/1,972,032
  6. Step 6: Final answer
    x = 4,027,102.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.