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Finding the Third Proportional to 458,344 and 986,899

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Solution

The third proportional to 458,344 and 986,899 is: 2,124,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,344 : 986,899 = 986,899 : x
  2. Step 2: Convert to fraction form
    458,344/986,899 = 986,899/x
  3. Step 3: Cross multiply
    458,344x = 986,899 × 986,899
  4. Step 4: Simplify right side
    458,344x = 973,969,636,201
  5. Step 5: Solve for x
    x = 973,969,636,201/458,344
  6. Step 6: Final answer
    x = 2,124,975.21

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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.