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Finding the Third Proportional to 582,384 and 1,273,368

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Solution

The third proportional to 582,384 and 1,273,368 is: 2,784,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,384 : 1,273,368 = 1,273,368 : x
  2. Step 2: Convert to fraction form
    582,384/1,273,368 = 1,273,368/x
  3. Step 3: Cross multiply
    582,384x = 1,273,368 × 1,273,368
  4. Step 4: Simplify right side
    582,384x = 1,621,466,063,424
  5. Step 5: Solve for x
    x = 1,621,466,063,424/582,384
  6. Step 6: Final answer
    x = 2,784,187.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.