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Finding the Third Proportional to 393,156 and 924,136

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Solution

The third proportional to 393,156 and 924,136 is: 2,172,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,156 : 924,136 = 924,136 : x
  2. Step 2: Convert to fraction form
    393,156/924,136 = 924,136/x
  3. Step 3: Cross multiply
    393,156x = 924,136 × 924,136
  4. Step 4: Simplify right side
    393,156x = 854,027,346,496
  5. Step 5: Solve for x
    x = 854,027,346,496/393,156
  6. Step 6: Final answer
    x = 2,172,235.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.