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Finding the Third Proportional to 427,310 and 923,146

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Solution

The third proportional to 427,310 and 923,146 is: 1,994,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,310 : 923,146 = 923,146 : x
  2. Step 2: Convert to fraction form
    427,310/923,146 = 923,146/x
  3. Step 3: Cross multiply
    427,310x = 923,146 × 923,146
  4. Step 4: Simplify right side
    427,310x = 852,198,537,316
  5. Step 5: Solve for x
    x = 852,198,537,316/427,310
  6. Step 6: Final answer
    x = 1,994,333.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.