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Finding the Third Proportional to 440,541 and 966,193

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Solution

The third proportional to 440,541 and 966,193 is: 2,119,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,541 : 966,193 = 966,193 : x
  2. Step 2: Convert to fraction form
    440,541/966,193 = 966,193/x
  3. Step 3: Cross multiply
    440,541x = 966,193 × 966,193
  4. Step 4: Simplify right side
    440,541x = 933,528,913,249
  5. Step 5: Solve for x
    x = 933,528,913,249/440,541
  6. Step 6: Final answer
    x = 2,119,051.15

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Why These Related Problems?

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