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Finding the Third Proportional to 923,281 and 1,381,230

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Solution

The third proportional to 923,281 and 1,381,230 is: 2,066,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,281 : 1,381,230 = 1,381,230 : x
  2. Step 2: Convert to fraction form
    923,281/1,381,230 = 1,381,230/x
  3. Step 3: Cross multiply
    923,281x = 1,381,230 × 1,381,230
  4. Step 4: Simplify right side
    923,281x = 1,907,796,312,900
  5. Step 5: Solve for x
    x = 1,907,796,312,900/923,281
  6. Step 6: Final answer
    x = 2,066,322.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.