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Finding the Third Proportional to 680,239 and 1,061,713.50

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Solution

The third proportional to 680,239 and 1,061,713.50 is: 1,657,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,239 : 1,061,713.50 = 1,061,713.50 : x
  2. Step 2: Convert to fraction form
    680,239/1,061,713.50 = 1,061,713.50/x
  3. Step 3: Cross multiply
    680,239x = 1,061,713.50 × 1,061,713.50
  4. Step 4: Simplify right side
    680,239x = 1,127,235,556,082.25
  5. Step 5: Solve for x
    x = 1,127,235,556,082.25/680,239
  6. Step 6: Final answer
    x = 1,657,116.92

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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.