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Finding the Third Proportional to 434,056 and 946,520

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Solution

The third proportional to 434,056 and 946,520 is: 2,064,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,056 : 946,520 = 946,520 : x
  2. Step 2: Convert to fraction form
    434,056/946,520 = 946,520/x
  3. Step 3: Cross multiply
    434,056x = 946,520 × 946,520
  4. Step 4: Simplify right side
    434,056x = 895,900,110,400
  5. Step 5: Solve for x
    x = 895,900,110,400/434,056
  6. Step 6: Final answer
    x = 2,064,019.64

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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.