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Finding the Third Proportional to 443,116 and 966,432

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Solution

The third proportional to 443,116 and 966,432 is: 2,107,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,116 : 966,432 = 966,432 : x
  2. Step 2: Convert to fraction form
    443,116/966,432 = 966,432/x
  3. Step 3: Cross multiply
    443,116x = 966,432 × 966,432
  4. Step 4: Simplify right side
    443,116x = 933,990,810,624
  5. Step 5: Solve for x
    x = 933,990,810,624/443,116
  6. Step 6: Final answer
    x = 2,107,779.48

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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.