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Finding the Third Proportional to 828,767 and 1,246,237

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Solution

The third proportional to 828,767 and 1,246,237 is: 1,873,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,767 : 1,246,237 = 1,246,237 : x
  2. Step 2: Convert to fraction form
    828,767/1,246,237 = 1,246,237/x
  3. Step 3: Cross multiply
    828,767x = 1,246,237 × 1,246,237
  4. Step 4: Simplify right side
    828,767x = 1,553,106,660,169
  5. Step 5: Solve for x
    x = 1,553,106,660,169/828,767
  6. Step 6: Final answer
    x = 1,873,996.74

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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.