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Finding the Third Proportional to 427,410 and 923,346

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Solution

The third proportional to 427,410 and 923,346 is: 1,994,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,410 : 923,346 = 923,346 : x
  2. Step 2: Convert to fraction form
    427,410/923,346 = 923,346/x
  3. Step 3: Cross multiply
    427,410x = 923,346 × 923,346
  4. Step 4: Simplify right side
    427,410x = 852,567,835,716
  5. Step 5: Solve for x
    x = 852,567,835,716/427,410
  6. Step 6: Final answer
    x = 1,994,730.67

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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.