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Finding the Third Proportional to 1,234,082 and 1,864,273

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Solution

The third proportional to 1,234,082 and 1,864,273 is: 2,816,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,082 : 1,864,273 = 1,864,273 : x
  2. Step 2: Convert to fraction form
    1,234,082/1,864,273 = 1,864,273/x
  3. Step 3: Cross multiply
    1,234,082x = 1,864,273 × 1,864,273
  4. Step 4: Simplify right side
    1,234,082x = 3,475,513,818,529
  5. Step 5: Solve for x
    x = 3,475,513,818,529/1,234,082
  6. Step 6: Final answer
    x = 2,816,274.62

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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.