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Finding the Third Proportional to 625,825.50 and 1,284,826.50

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Solution

The third proportional to 625,825.50 and 1,284,826.50 is: 2,637,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,825.50 : 1,284,826.50 = 1,284,826.50 : x
  2. Step 2: Convert to fraction form
    625,825.50/1,284,826.50 = 1,284,826.50/x
  3. Step 3: Cross multiply
    625,825.50x = 1,284,826.50 × 1,284,826.50
  4. Step 4: Simplify right side
    625,825.50x = 1,650,779,135,102.25
  5. Step 5: Solve for x
    x = 1,650,779,135,102.25/625,825.50
  6. Step 6: Final answer
    x = 2,637,762.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.