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Finding the Third Proportional to 458,635 and 972,773

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Solution

The third proportional to 458,635 and 972,773 is: 2,063,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,635 : 972,773 = 972,773 : x
  2. Step 2: Convert to fraction form
    458,635/972,773 = 972,773/x
  3. Step 3: Cross multiply
    458,635x = 972,773 × 972,773
  4. Step 4: Simplify right side
    458,635x = 946,287,309,529
  5. Step 5: Solve for x
    x = 946,287,309,529/458,635
  6. Step 6: Final answer
    x = 2,063,268.85

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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.