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Finding the Third Proportional to 1,223,424 and 2,634,336

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Solution

The third proportional to 1,223,424 and 2,634,336 is: 5,672,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,424 : 2,634,336 = 2,634,336 : x
  2. Step 2: Convert to fraction form
    1,223,424/2,634,336 = 2,634,336/x
  3. Step 3: Cross multiply
    1,223,424x = 2,634,336 × 2,634,336
  4. Step 4: Simplify right side
    1,223,424x = 6,939,726,160,896
  5. Step 5: Solve for x
    x = 6,939,726,160,896/1,223,424
  6. Step 6: Final answer
    x = 5,672,380.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.