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Finding the Third Proportional to 435,976.17 and 935,014.64

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Solution

The third proportional to 435,976.17 and 935,014.64 is: 2,005,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,976.17 : 935,014.64 = 935,014.64 : x
  2. Step 2: Convert to fraction form
    435,976.17/935,014.64 = 935,014.64/x
  3. Step 3: Cross multiply
    435,976.17x = 935,014.64 × 935,014.64
  4. Step 4: Simplify right side
    435,976.17x = 874,252,378,183.10
  5. Step 5: Solve for x
    x = 874,252,378,183.10/435,976.17
  6. Step 6: Final answer
    x = 2,005,275.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.