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Finding the Third Proportional to 665,430 and 1,442,962

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Solution

The third proportional to 665,430 and 1,442,962 is: 3,129,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,430 : 1,442,962 = 1,442,962 : x
  2. Step 2: Convert to fraction form
    665,430/1,442,962 = 1,442,962/x
  3. Step 3: Cross multiply
    665,430x = 1,442,962 × 1,442,962
  4. Step 4: Simplify right side
    665,430x = 2,082,139,333,444
  5. Step 5: Solve for x
    x = 2,082,139,333,444/665,430
  6. Step 6: Final answer
    x = 3,129,013.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.