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Finding the Third Proportional to 461,520 and 993,312

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Solution

The third proportional to 461,520 and 993,312 is: 2,137,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,520 : 993,312 = 993,312 : x
  2. Step 2: Convert to fraction form
    461,520/993,312 = 993,312/x
  3. Step 3: Cross multiply
    461,520x = 993,312 × 993,312
  4. Step 4: Simplify right side
    461,520x = 986,668,729,344
  5. Step 5: Solve for x
    x = 986,668,729,344/461,520
  6. Step 6: Final answer
    x = 2,137,867.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.