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Finding the Third Proportional to 828,913 and 1,246,446

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Solution

The third proportional to 828,913 and 1,246,446 is: 1,874,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,913 : 1,246,446 = 1,246,446 : x
  2. Step 2: Convert to fraction form
    828,913/1,246,446 = 1,246,446/x
  3. Step 3: Cross multiply
    828,913x = 1,246,446 × 1,246,446
  4. Step 4: Simplify right side
    828,913x = 1,553,627,630,916
  5. Step 5: Solve for x
    x = 1,553,627,630,916/828,913
  6. Step 6: Final answer
    x = 1,874,295.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.