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Finding the Third Proportional to 1,735,069.50 and 3,680,086.50

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Solution

The third proportional to 1,735,069.50 and 3,680,086.50 is: 7,805,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,069.50 : 3,680,086.50 = 3,680,086.50 : x
  2. Step 2: Convert to fraction form
    1,735,069.50/3,680,086.50 = 3,680,086.50/x
  3. Step 3: Cross multiply
    1,735,069.50x = 3,680,086.50 × 3,680,086.50
  4. Step 4: Simplify right side
    1,735,069.50x = 13,543,036,647,482.25
  5. Step 5: Solve for x
    x = 13,543,036,647,482.25/1,735,069.50
  6. Step 6: Final answer
    x = 7,805,472.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.