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Finding the Third Proportional to 699,409.69 and 1,051,709.06

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Solution

The third proportional to 699,409.69 and 1,051,709.06 is: 1,581,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,409.69 : 1,051,709.06 = 1,051,709.06 : x
  2. Step 2: Convert to fraction form
    699,409.69/1,051,709.06 = 1,051,709.06/x
  3. Step 3: Cross multiply
    699,409.69x = 1,051,709.06 × 1,051,709.06
  4. Step 4: Simplify right side
    699,409.69x = 1,106,091,952,144.63
  5. Step 5: Solve for x
    x = 1,106,091,952,144.63/699,409.69
  6. Step 6: Final answer
    x = 1,581,465.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.