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Finding the Third Proportional to 499,630 and 1,070,647

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Solution

The third proportional to 499,630 and 1,070,647 is: 2,294,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,630 : 1,070,647 = 1,070,647 : x
  2. Step 2: Convert to fraction form
    499,630/1,070,647 = 1,070,647/x
  3. Step 3: Cross multiply
    499,630x = 1,070,647 × 1,070,647
  4. Step 4: Simplify right side
    499,630x = 1,146,284,998,609
  5. Step 5: Solve for x
    x = 1,146,284,998,609/499,630
  6. Step 6: Final answer
    x = 2,294,267.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.