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Finding the Third Proportional to 434,745.56 and 946,714.50

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Solution

The third proportional to 434,745.56 and 946,714.50 is: 2,061,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,745.56 : 946,714.50 = 946,714.50 : x
  2. Step 2: Convert to fraction form
    434,745.56/946,714.50 = 946,714.50/x
  3. Step 3: Cross multiply
    434,745.56x = 946,714.50 × 946,714.50
  4. Step 4: Simplify right side
    434,745.56x = 896,268,344,510.25
  5. Step 5: Solve for x
    x = 896,268,344,510.25/434,745.56
  6. Step 6: Final answer
    x = 2,061,592.85

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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.