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Finding the Third Proportional to 685,158 and 1,043,914

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Solution

The third proportional to 685,158 and 1,043,914 is: 1,590,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,158 : 1,043,914 = 1,043,914 : x
  2. Step 2: Convert to fraction form
    685,158/1,043,914 = 1,043,914/x
  3. Step 3: Cross multiply
    685,158x = 1,043,914 × 1,043,914
  4. Step 4: Simplify right side
    685,158x = 1,089,756,439,396
  5. Step 5: Solve for x
    x = 1,089,756,439,396/685,158
  6. Step 6: Final answer
    x = 1,590,518.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.