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Finding the Third Proportional to 656,830.69 and 989,944.03

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Solution

The third proportional to 656,830.69 and 989,944.03 is: 1,491,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,830.69 : 989,944.03 = 989,944.03 : x
  2. Step 2: Convert to fraction form
    656,830.69/989,944.03 = 989,944.03/x
  3. Step 3: Cross multiply
    656,830.69x = 989,944.03 × 989,944.03
  4. Step 4: Simplify right side
    656,830.69x = 979,989,185,007.50
  5. Step 5: Solve for x
    x = 979,989,185,007.50/656,830.69
  6. Step 6: Final answer
    x = 1,491,996.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.