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Finding the Third Proportional to 665,810 and 1,456,158

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Solution

The third proportional to 665,810 and 1,456,158 is: 3,184,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,810 : 1,456,158 = 1,456,158 : x
  2. Step 2: Convert to fraction form
    665,810/1,456,158 = 1,456,158/x
  3. Step 3: Cross multiply
    665,810x = 1,456,158 × 1,456,158
  4. Step 4: Simplify right side
    665,810x = 2,120,396,120,964
  5. Step 5: Solve for x
    x = 2,120,396,120,964/665,810
  6. Step 6: Final answer
    x = 3,184,686.50

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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.