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Finding the Third Proportional to 946,042.88 and 1,467,657.56

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Solution

The third proportional to 946,042.88 and 1,467,657.56 is: 2,276,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,042.88 : 1,467,657.56 = 1,467,657.56 : x
  2. Step 2: Convert to fraction form
    946,042.88/1,467,657.56 = 1,467,657.56/x
  3. Step 3: Cross multiply
    946,042.88x = 1,467,657.56 × 1,467,657.56
  4. Step 4: Simplify right side
    946,042.88x = 2,154,018,720,763.44
  5. Step 5: Solve for x
    x = 2,154,018,720,763.44/946,042.88
  6. Step 6: Final answer
    x = 2,276,872.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.