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Finding the Third Proportional to 458,440 and 984,592

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Solution

The third proportional to 458,440 and 984,592 is: 2,114,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,440 : 984,592 = 984,592 : x
  2. Step 2: Convert to fraction form
    458,440/984,592 = 984,592/x
  3. Step 3: Cross multiply
    458,440x = 984,592 × 984,592
  4. Step 4: Simplify right side
    458,440x = 969,421,406,464
  5. Step 5: Solve for x
    x = 969,421,406,464/458,440
  6. Step 6: Final answer
    x = 2,114,609.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.