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Finding the Third Proportional to 620,760 and 991,816

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Solution

The third proportional to 620,760 and 991,816 is: 1,584,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,760 : 991,816 = 991,816 : x
  2. Step 2: Convert to fraction form
    620,760/991,816 = 991,816/x
  3. Step 3: Cross multiply
    620,760x = 991,816 × 991,816
  4. Step 4: Simplify right side
    620,760x = 983,698,977,856
  5. Step 5: Solve for x
    x = 983,698,977,856/620,760
  6. Step 6: Final answer
    x = 1,584,668.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.