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Finding the Third Proportional to 460,047 and 1,001,094

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Solution

The third proportional to 460,047 and 1,001,094 is: 2,178,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,047 : 1,001,094 = 1,001,094 : x
  2. Step 2: Convert to fraction form
    460,047/1,001,094 = 1,001,094/x
  3. Step 3: Cross multiply
    460,047x = 1,001,094 × 1,001,094
  4. Step 4: Simplify right side
    460,047x = 1,002,189,196,836
  5. Step 5: Solve for x
    x = 1,002,189,196,836/460,047
  6. Step 6: Final answer
    x = 2,178,449.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.