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Finding the Third Proportional to 1,972,034 and 2,818,082

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Solution

The third proportional to 1,972,034 and 2,818,082 is: 4,027,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,034 : 2,818,082 = 2,818,082 : x
  2. Step 2: Convert to fraction form
    1,972,034/2,818,082 = 2,818,082/x
  3. Step 3: Cross multiply
    1,972,034x = 2,818,082 × 2,818,082
  4. Step 4: Simplify right side
    1,972,034x = 7,941,586,158,724
  5. Step 5: Solve for x
    x = 7,941,586,158,724/1,972,034
  6. Step 6: Final answer
    x = 4,027,104.08

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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.