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Finding the Third Proportional to 668,995 and 1,442,965

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Solution

The third proportional to 668,995 and 1,442,965 is: 3,112,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,995 : 1,442,965 = 1,442,965 : x
  2. Step 2: Convert to fraction form
    668,995/1,442,965 = 1,442,965/x
  3. Step 3: Cross multiply
    668,995x = 1,442,965 × 1,442,965
  4. Step 4: Simplify right side
    668,995x = 2,082,147,991,225
  5. Step 5: Solve for x
    x = 2,082,147,991,225/668,995
  6. Step 6: Final answer
    x = 3,112,352.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.