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Finding the Third Proportional to 475,424 and 1,044,148

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Solution

The third proportional to 475,424 and 1,044,148 is: 2,293,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,424 : 1,044,148 = 1,044,148 : x
  2. Step 2: Convert to fraction form
    475,424/1,044,148 = 1,044,148/x
  3. Step 3: Cross multiply
    475,424x = 1,044,148 × 1,044,148
  4. Step 4: Simplify right side
    475,424x = 1,090,245,045,904
  5. Step 5: Solve for x
    x = 1,090,245,045,904/475,424
  6. Step 6: Final answer
    x = 2,293,205.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.