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Finding the Third Proportional to 466,702 and 1,017,873

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Solution

The third proportional to 466,702 and 1,017,873 is: 2,219,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,702 : 1,017,873 = 1,017,873 : x
  2. Step 2: Convert to fraction form
    466,702/1,017,873 = 1,017,873/x
  3. Step 3: Cross multiply
    466,702x = 1,017,873 × 1,017,873
  4. Step 4: Simplify right side
    466,702x = 1,036,065,444,129
  5. Step 5: Solve for x
    x = 1,036,065,444,129/466,702
  6. Step 6: Final answer
    x = 2,219,972.15

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Why These Related Problems?

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