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Finding the Third Proportional to 1,953,421 and 4,187,191

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Solution

The third proportional to 1,953,421 and 4,187,191 is: 8,975,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,421 : 4,187,191 = 4,187,191 : x
  2. Step 2: Convert to fraction form
    1,953,421/4,187,191 = 4,187,191/x
  3. Step 3: Cross multiply
    1,953,421x = 4,187,191 × 4,187,191
  4. Step 4: Simplify right side
    1,953,421x = 17,532,568,470,481
  5. Step 5: Solve for x
    x = 17,532,568,470,481/1,953,421
  6. Step 6: Final answer
    x = 8,975,314.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.