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Finding the Third Proportional to 2,806,289.25 and 4,104,457.88

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Solution

The third proportional to 2,806,289.25 and 4,104,457.88 is: 6,003,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806,289.25 : 4,104,457.88 = 4,104,457.88 : x
  2. Step 2: Convert to fraction form
    2,806,289.25/4,104,457.88 = 4,104,457.88/x
  3. Step 3: Cross multiply
    2,806,289.25x = 4,104,457.88 × 4,104,457.88
  4. Step 4: Simplify right side
    2,806,289.25x = 16,846,574,447,649.52
  5. Step 5: Solve for x
    x = 16,846,574,447,649.52/2,806,289.25
  6. Step 6: Final answer
    x = 6,003,149.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.