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Finding the Third Proportional to 691,716 and 1,458,628.50

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Solution

The third proportional to 691,716 and 1,458,628.50 is: 3,075,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,716 : 1,458,628.50 = 1,458,628.50 : x
  2. Step 2: Convert to fraction form
    691,716/1,458,628.50 = 1,458,628.50/x
  3. Step 3: Cross multiply
    691,716x = 1,458,628.50 × 1,458,628.50
  4. Step 4: Simplify right side
    691,716x = 2,127,597,101,012.25
  5. Step 5: Solve for x
    x = 2,127,597,101,012.25/691,716
  6. Step 6: Final answer
    x = 3,075,824.62

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.