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Finding the Third Proportional to 449,318 and 961,816

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Solution

The third proportional to 449,318 and 961,816 is: 2,058,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,318 : 961,816 = 961,816 : x
  2. Step 2: Convert to fraction form
    449,318/961,816 = 961,816/x
  3. Step 3: Cross multiply
    449,318x = 961,816 × 961,816
  4. Step 4: Simplify right side
    449,318x = 925,090,017,856
  5. Step 5: Solve for x
    x = 925,090,017,856/449,318
  6. Step 6: Final answer
    x = 2,058,875.94

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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.