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Finding the Third Proportional to 458,634 and 972,771

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Solution

The third proportional to 458,634 and 972,771 is: 2,063,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,634 : 972,771 = 972,771 : x
  2. Step 2: Convert to fraction form
    458,634/972,771 = 972,771/x
  3. Step 3: Cross multiply
    458,634x = 972,771 × 972,771
  4. Step 4: Simplify right side
    458,634x = 946,283,418,441
  5. Step 5: Solve for x
    x = 946,283,418,441/458,634
  6. Step 6: Final answer
    x = 2,063,264.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.