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Finding the Third Proportional to 457,630 and 953,136

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Solution

The third proportional to 457,630 and 953,136 is: 1,985,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,630 : 953,136 = 953,136 : x
  2. Step 2: Convert to fraction form
    457,630/953,136 = 953,136/x
  3. Step 3: Cross multiply
    457,630x = 953,136 × 953,136
  4. Step 4: Simplify right side
    457,630x = 908,468,234,496
  5. Step 5: Solve for x
    x = 908,468,234,496/457,630
  6. Step 6: Final answer
    x = 1,985,158.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.