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Finding the Third Proportional to 611,536.50 and 1,438,911

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Solution

The third proportional to 611,536.50 and 1,438,911 is: 3,385,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,536.50 : 1,438,911 = 1,438,911 : x
  2. Step 2: Convert to fraction form
    611,536.50/1,438,911 = 1,438,911/x
  3. Step 3: Cross multiply
    611,536.50x = 1,438,911 × 1,438,911
  4. Step 4: Simplify right side
    611,536.50x = 2,070,464,865,921
  5. Step 5: Solve for x
    x = 2,070,464,865,921/611,536.50
  6. Step 6: Final answer
    x = 3,385,676.68

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.