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Finding the Third Proportional to 459,590 and 992,968

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Solution

The third proportional to 459,590 and 992,968 is: 2,145,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,590 : 992,968 = 992,968 : x
  2. Step 2: Convert to fraction form
    459,590/992,968 = 992,968/x
  3. Step 3: Cross multiply
    459,590x = 992,968 × 992,968
  4. Step 4: Simplify right side
    459,590x = 985,985,449,024
  5. Step 5: Solve for x
    x = 985,985,449,024/459,590
  6. Step 6: Final answer
    x = 2,145,358.80

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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.