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Finding the Third Proportional to 429,858 and 894,602

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Solution

The third proportional to 429,858 and 894,602 is: 1,861,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,858 : 894,602 = 894,602 : x
  2. Step 2: Convert to fraction form
    429,858/894,602 = 894,602/x
  3. Step 3: Cross multiply
    429,858x = 894,602 × 894,602
  4. Step 4: Simplify right side
    429,858x = 800,312,738,404
  5. Step 5: Solve for x
    x = 800,312,738,404/429,858
  6. Step 6: Final answer
    x = 1,861,807.24

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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.