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Finding the Third Proportional to 680,238 and 1,061,712

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Solution

The third proportional to 680,238 and 1,061,712 is: 1,657,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,238 : 1,061,712 = 1,061,712 : x
  2. Step 2: Convert to fraction form
    680,238/1,061,712 = 1,061,712/x
  3. Step 3: Cross multiply
    680,238x = 1,061,712 × 1,061,712
  4. Step 4: Simplify right side
    680,238x = 1,127,232,370,944
  5. Step 5: Solve for x
    x = 1,127,232,370,944/680,238
  6. Step 6: Final answer
    x = 1,657,114.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.