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Finding the Third Proportional to 459,585 and 992,960

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Solution

The third proportional to 459,585 and 992,960 is: 2,145,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,585 : 992,960 = 992,960 : x
  2. Step 2: Convert to fraction form
    459,585/992,960 = 992,960/x
  3. Step 3: Cross multiply
    459,585x = 992,960 × 992,960
  4. Step 4: Simplify right side
    459,585x = 985,969,561,600
  5. Step 5: Solve for x
    x = 985,969,561,600/459,585
  6. Step 6: Final answer
    x = 2,145,347.57

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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.