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Finding the Third Proportional to 665,713 and 1,455,983

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Solution

The third proportional to 665,713 and 1,455,983 is: 3,184,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,713 : 1,455,983 = 1,455,983 : x
  2. Step 2: Convert to fraction form
    665,713/1,455,983 = 1,455,983/x
  3. Step 3: Cross multiply
    665,713x = 1,455,983 × 1,455,983
  4. Step 4: Simplify right side
    665,713x = 2,119,886,496,289
  5. Step 5: Solve for x
    x = 2,119,886,496,289/665,713
  6. Step 6: Final answer
    x = 3,184,385.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.