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Finding the Third Proportional to 385,740 and 846,207

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Solution

The third proportional to 385,740 and 846,207 is: 1,856,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,740 : 846,207 = 846,207 : x
  2. Step 2: Convert to fraction form
    385,740/846,207 = 846,207/x
  3. Step 3: Cross multiply
    385,740x = 846,207 × 846,207
  4. Step 4: Simplify right side
    385,740x = 716,066,286,849
  5. Step 5: Solve for x
    x = 716,066,286,849/385,740
  6. Step 6: Final answer
    x = 1,856,344.39

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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.