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Finding the Third Proportional to 460,944 and 1,000,608

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Solution

The third proportional to 460,944 and 1,000,608 is: 2,172,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,944 : 1,000,608 = 1,000,608 : x
  2. Step 2: Convert to fraction form
    460,944/1,000,608 = 1,000,608/x
  3. Step 3: Cross multiply
    460,944x = 1,000,608 × 1,000,608
  4. Step 4: Simplify right side
    460,944x = 1,001,216,369,664
  5. Step 5: Solve for x
    x = 1,001,216,369,664/460,944
  6. Step 6: Final answer
    x = 2,172,099.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.