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Finding the Third Proportional to 414,580 and 899,145

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Solution

The third proportional to 414,580 and 899,145 is: 1,950,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,580 : 899,145 = 899,145 : x
  2. Step 2: Convert to fraction form
    414,580/899,145 = 899,145/x
  3. Step 3: Cross multiply
    414,580x = 899,145 × 899,145
  4. Step 4: Simplify right side
    414,580x = 808,461,731,025
  5. Step 5: Solve for x
    x = 808,461,731,025/414,580
  6. Step 6: Final answer
    x = 1,950,074.13

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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.