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Finding the Third Proportional to 533,979 and 1,166,427

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Solution

The third proportional to 533,979 and 1,166,427 is: 2,547,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,979 : 1,166,427 = 1,166,427 : x
  2. Step 2: Convert to fraction form
    533,979/1,166,427 = 1,166,427/x
  3. Step 3: Cross multiply
    533,979x = 1,166,427 × 1,166,427
  4. Step 4: Simplify right side
    533,979x = 1,360,551,946,329
  5. Step 5: Solve for x
    x = 1,360,551,946,329/533,979
  6. Step 6: Final answer
    x = 2,547,950.29

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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.