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Finding the Third Proportional to 429,808 and 934,244

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Solution

The third proportional to 429,808 and 934,244 is: 2,030,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,808 : 934,244 = 934,244 : x
  2. Step 2: Convert to fraction form
    429,808/934,244 = 934,244/x
  3. Step 3: Cross multiply
    429,808x = 934,244 × 934,244
  4. Step 4: Simplify right side
    429,808x = 872,811,851,536
  5. Step 5: Solve for x
    x = 872,811,851,536/429,808
  6. Step 6: Final answer
    x = 2,030,701.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.