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Finding the Third Proportional to 576,474 and 916,034

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Solution

The third proportional to 576,474 and 916,034 is: 1,455,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,474 : 916,034 = 916,034 : x
  2. Step 2: Convert to fraction form
    576,474/916,034 = 916,034/x
  3. Step 3: Cross multiply
    576,474x = 916,034 × 916,034
  4. Step 4: Simplify right side
    576,474x = 839,118,289,156
  5. Step 5: Solve for x
    x = 839,118,289,156/576,474
  6. Step 6: Final answer
    x = 1,455,604.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.