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Finding the Third Proportional to 445,812 and 869,304

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Solution

The third proportional to 445,812 and 869,304 is: 1,695,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,812 : 869,304 = 869,304 : x
  2. Step 2: Convert to fraction form
    445,812/869,304 = 869,304/x
  3. Step 3: Cross multiply
    445,812x = 869,304 × 869,304
  4. Step 4: Simplify right side
    445,812x = 755,689,444,416
  5. Step 5: Solve for x
    x = 755,689,444,416/445,812
  6. Step 6: Final answer
    x = 1,695,085.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.