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Finding the Third Proportional to 466,695 and 1,017,861

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Solution

The third proportional to 466,695 and 1,017,861 is: 2,219,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,695 : 1,017,861 = 1,017,861 : x
  2. Step 2: Convert to fraction form
    466,695/1,017,861 = 1,017,861/x
  3. Step 3: Cross multiply
    466,695x = 1,017,861 × 1,017,861
  4. Step 4: Simplify right side
    466,695x = 1,036,041,015,321
  5. Step 5: Solve for x
    x = 1,036,041,015,321/466,695
  6. Step 6: Final answer
    x = 2,219,953.11

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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.