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Finding the Third Proportional to 733,995 and 1,556,196

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Solution

The third proportional to 733,995 and 1,556,196 is: 3,299,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,995 : 1,556,196 = 1,556,196 : x
  2. Step 2: Convert to fraction form
    733,995/1,556,196 = 1,556,196/x
  3. Step 3: Cross multiply
    733,995x = 1,556,196 × 1,556,196
  4. Step 4: Simplify right side
    733,995x = 2,421,745,990,416
  5. Step 5: Solve for x
    x = 2,421,745,990,416/733,995
  6. Step 6: Final answer
    x = 3,299,403.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.