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Finding the Third Proportional to 923,454 and 1,385,208

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Solution

The third proportional to 923,454 and 1,385,208 is: 2,077,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,454 : 1,385,208 = 1,385,208 : x
  2. Step 2: Convert to fraction form
    923,454/1,385,208 = 1,385,208/x
  3. Step 3: Cross multiply
    923,454x = 1,385,208 × 1,385,208
  4. Step 4: Simplify right side
    923,454x = 1,918,801,203,264
  5. Step 5: Solve for x
    x = 1,918,801,203,264/923,454
  6. Step 6: Final answer
    x = 2,077,852.50

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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.