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Finding the Third Proportional to 665,741 and 1,456,034

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Solution

The third proportional to 665,741 and 1,456,034 is: 3,184,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,741 : 1,456,034 = 1,456,034 : x
  2. Step 2: Convert to fraction form
    665,741/1,456,034 = 1,456,034/x
  3. Step 3: Cross multiply
    665,741x = 1,456,034 × 1,456,034
  4. Step 4: Simplify right side
    665,741x = 2,120,035,009,156
  5. Step 5: Solve for x
    x = 2,120,035,009,156/665,741
  6. Step 6: Final answer
    x = 3,184,474.16

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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.