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Finding the Third Proportional to 459,549 and 992,889

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Solution

The third proportional to 459,549 and 992,889 is: 2,145,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,549 : 992,889 = 992,889 : x
  2. Step 2: Convert to fraction form
    459,549/992,889 = 992,889/x
  3. Step 3: Cross multiply
    459,549x = 992,889 × 992,889
  4. Step 4: Simplify right side
    459,549x = 985,828,566,321
  5. Step 5: Solve for x
    x = 985,828,566,321/459,549
  6. Step 6: Final answer
    x = 2,145,208.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.