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Finding the Third Proportional to 553,056 and 1,206,156

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Solution

The third proportional to 553,056 and 1,206,156 is: 2,630,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,056 : 1,206,156 = 1,206,156 : x
  2. Step 2: Convert to fraction form
    553,056/1,206,156 = 1,206,156/x
  3. Step 3: Cross multiply
    553,056x = 1,206,156 × 1,206,156
  4. Step 4: Simplify right side
    553,056x = 1,454,812,296,336
  5. Step 5: Solve for x
    x = 1,454,812,296,336/553,056
  6. Step 6: Final answer
    x = 2,630,497.27

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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.