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Finding the Third Proportional to 385,986 and 846,740

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Solution

The third proportional to 385,986 and 846,740 is: 1,857,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,986 : 846,740 = 846,740 : x
  2. Step 2: Convert to fraction form
    385,986/846,740 = 846,740/x
  3. Step 3: Cross multiply
    385,986x = 846,740 × 846,740
  4. Step 4: Simplify right side
    385,986x = 716,968,627,600
  5. Step 5: Solve for x
    x = 716,968,627,600/385,986
  6. Step 6: Final answer
    x = 1,857,499.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.