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Finding the Third Proportional to 1,779,124.50 and 4,197,825

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Solution

The third proportional to 1,779,124.50 and 4,197,825 is: 9,904,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779,124.50 : 4,197,825 = 4,197,825 : x
  2. Step 2: Convert to fraction form
    1,779,124.50/4,197,825 = 4,197,825/x
  3. Step 3: Cross multiply
    1,779,124.50x = 4,197,825 × 4,197,825
  4. Step 4: Simplify right side
    1,779,124.50x = 17,621,734,730,625
  5. Step 5: Solve for x
    x = 17,621,734,730,625/1,779,124.50
  6. Step 6: Final answer
    x = 9,904,722.65

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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.