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Finding the Third Proportional to 630,342 and 946,158.47

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Solution

The third proportional to 630,342 and 946,158.47 is: 1,420,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,342 : 946,158.47 = 946,158.47 : x
  2. Step 2: Convert to fraction form
    630,342/946,158.47 = 946,158.47/x
  3. Step 3: Cross multiply
    630,342x = 946,158.47 × 946,158.47
  4. Step 4: Simplify right side
    630,342x = 895,215,847,987.35
  5. Step 5: Solve for x
    x = 895,215,847,987.35/630,342
  6. Step 6: Final answer
    x = 1,420,206.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.