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Finding the Third Proportional to 656,057 and 980,670

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Solution

The third proportional to 656,057 and 980,670 is: 1,465,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,057 : 980,670 = 980,670 : x
  2. Step 2: Convert to fraction form
    656,057/980,670 = 980,670/x
  3. Step 3: Cross multiply
    656,057x = 980,670 × 980,670
  4. Step 4: Simplify right side
    656,057x = 961,713,648,900
  5. Step 5: Solve for x
    x = 961,713,648,900/656,057
  6. Step 6: Final answer
    x = 1,465,899.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.