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Finding the Third Proportional to 442,566 and 960,066

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Solution

The third proportional to 442,566 and 960,066 is: 2,082,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,566 : 960,066 = 960,066 : x
  2. Step 2: Convert to fraction form
    442,566/960,066 = 960,066/x
  3. Step 3: Cross multiply
    442,566x = 960,066 × 960,066
  4. Step 4: Simplify right side
    442,566x = 921,726,724,356
  5. Step 5: Solve for x
    x = 921,726,724,356/442,566
  6. Step 6: Final answer
    x = 2,082,687.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.