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Finding the Third Proportional to 466,769 and 1,023,898

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Solution

The third proportional to 466,769 and 1,023,898 is: 2,246,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,769 : 1,023,898 = 1,023,898 : x
  2. Step 2: Convert to fraction form
    466,769/1,023,898 = 1,023,898/x
  3. Step 3: Cross multiply
    466,769x = 1,023,898 × 1,023,898
  4. Step 4: Simplify right side
    466,769x = 1,048,367,114,404
  5. Step 5: Solve for x
    x = 1,048,367,114,404/466,769
  6. Step 6: Final answer
    x = 2,246,008.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.