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Finding the Third Proportional to 466,697 and 1,017,864

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Solution

The third proportional to 466,697 and 1,017,864 is: 2,219,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,697 : 1,017,864 = 1,017,864 : x
  2. Step 2: Convert to fraction form
    466,697/1,017,864 = 1,017,864/x
  3. Step 3: Cross multiply
    466,697x = 1,017,864 × 1,017,864
  4. Step 4: Simplify right side
    466,697x = 1,036,047,122,496
  5. Step 5: Solve for x
    x = 1,036,047,122,496/466,697
  6. Step 6: Final answer
    x = 2,219,956.68

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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.