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Finding the Third Proportional to 553,116 and 1,206,344

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Solution

The third proportional to 553,116 and 1,206,344 is: 2,631,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,116 : 1,206,344 = 1,206,344 : x
  2. Step 2: Convert to fraction form
    553,116/1,206,344 = 1,206,344/x
  3. Step 3: Cross multiply
    553,116x = 1,206,344 × 1,206,344
  4. Step 4: Simplify right side
    553,116x = 1,455,265,846,336
  5. Step 5: Solve for x
    x = 1,455,265,846,336/553,116
  6. Step 6: Final answer
    x = 2,631,031.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.