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Finding the Third Proportional to 630,834 and 945,314

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Solution

The third proportional to 630,834 and 945,314 is: 1,416,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,834 : 945,314 = 945,314 : x
  2. Step 2: Convert to fraction form
    630,834/945,314 = 945,314/x
  3. Step 3: Cross multiply
    630,834x = 945,314 × 945,314
  4. Step 4: Simplify right side
    630,834x = 893,618,558,596
  5. Step 5: Solve for x
    x = 893,618,558,596/630,834
  6. Step 6: Final answer
    x = 1,416,566.89

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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.