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Finding the Third Proportional to 828,105 and 1,246,303

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Solution

The third proportional to 828,105 and 1,246,303 is: 1,875,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,105 : 1,246,303 = 1,246,303 : x
  2. Step 2: Convert to fraction form
    828,105/1,246,303 = 1,246,303/x
  3. Step 3: Cross multiply
    828,105x = 1,246,303 × 1,246,303
  4. Step 4: Simplify right side
    828,105x = 1,553,271,167,809
  5. Step 5: Solve for x
    x = 1,553,271,167,809/828,105
  6. Step 6: Final answer
    x = 1,875,693.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.