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Finding the Third Proportional to 653,251.50 and 1,406,615.63

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Solution

The third proportional to 653,251.50 and 1,406,615.63 is: 3,028,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,251.50 : 1,406,615.63 = 1,406,615.63 : x
  2. Step 2: Convert to fraction form
    653,251.50/1,406,615.63 = 1,406,615.63/x
  3. Step 3: Cross multiply
    653,251.50x = 1,406,615.63 × 1,406,615.63
  4. Step 4: Simplify right side
    653,251.50x = 1,978,567,516,494.14
  5. Step 5: Solve for x
    x = 1,978,567,516,494.14/653,251.50
  6. Step 6: Final answer
    x = 3,028,799.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.