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Finding the Third Proportional to 460,548 and 996,001

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Solution

The third proportional to 460,548 and 996,001 is: 2,153,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,548 : 996,001 = 996,001 : x
  2. Step 2: Convert to fraction form
    460,548/996,001 = 996,001/x
  3. Step 3: Cross multiply
    460,548x = 996,001 × 996,001
  4. Step 4: Simplify right side
    460,548x = 992,017,992,001
  5. Step 5: Solve for x
    x = 992,017,992,001/460,548
  6. Step 6: Final answer
    x = 2,153,994.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.