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Finding the Third Proportional to 1,779,647.50 and 4,199,247

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Solution

The third proportional to 1,779,647.50 and 4,199,247 is: 9,908,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779,647.50 : 4,199,247 = 4,199,247 : x
  2. Step 2: Convert to fraction form
    1,779,647.50/4,199,247 = 4,199,247/x
  3. Step 3: Cross multiply
    1,779,647.50x = 4,199,247 × 4,199,247
  4. Step 4: Simplify right side
    1,779,647.50x = 17,633,675,367,009
  5. Step 5: Solve for x
    x = 17,633,675,367,009/1,779,647.50
  6. Step 6: Final answer
    x = 9,908,521.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.