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Finding the Third Proportional to 492,158 and 1,073,254

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Solution

The third proportional to 492,158 and 1,073,254 is: 2,340,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,158 : 1,073,254 = 1,073,254 : x
  2. Step 2: Convert to fraction form
    492,158/1,073,254 = 1,073,254/x
  3. Step 3: Cross multiply
    492,158x = 1,073,254 × 1,073,254
  4. Step 4: Simplify right side
    492,158x = 1,151,874,148,516
  5. Step 5: Solve for x
    x = 1,151,874,148,516/492,158
  6. Step 6: Final answer
    x = 2,340,456.01

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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.