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Finding the Third Proportional to 414,022 and 887,066

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Solution

The third proportional to 414,022 and 887,066 is: 1,900,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,022 : 887,066 = 887,066 : x
  2. Step 2: Convert to fraction form
    414,022/887,066 = 887,066/x
  3. Step 3: Cross multiply
    414,022x = 887,066 × 887,066
  4. Step 4: Simplify right side
    414,022x = 786,886,088,356
  5. Step 5: Solve for x
    x = 786,886,088,356/414,022
  6. Step 6: Final answer
    x = 1,900,590.04

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Why These Related Problems?

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