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Finding the Third Proportional to 550,116 and 828,816

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Solution

The third proportional to 550,116 and 828,816 is: 1,248,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,116 : 828,816 = 828,816 : x
  2. Step 2: Convert to fraction form
    550,116/828,816 = 828,816/x
  3. Step 3: Cross multiply
    550,116x = 828,816 × 828,816
  4. Step 4: Simplify right side
    550,116x = 686,935,961,856
  5. Step 5: Solve for x
    x = 686,935,961,856/550,116
  6. Step 6: Final answer
    x = 1,248,711.11

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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.