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Finding the Third Proportional to 389,994 and 846,567

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Solution

The third proportional to 389,994 and 846,567 is: 1,837,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,994 : 846,567 = 846,567 : x
  2. Step 2: Convert to fraction form
    389,994/846,567 = 846,567/x
  3. Step 3: Cross multiply
    389,994x = 846,567 × 846,567
  4. Step 4: Simplify right side
    389,994x = 716,675,685,489
  5. Step 5: Solve for x
    x = 716,675,685,489/389,994
  6. Step 6: Final answer
    x = 1,837,658.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.