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Finding the Third Proportional to 582,783 and 1,194,453

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Solution

The third proportional to 582,783 and 1,194,453 is: 2,448,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,783 : 1,194,453 = 1,194,453 : x
  2. Step 2: Convert to fraction form
    582,783/1,194,453 = 1,194,453/x
  3. Step 3: Cross multiply
    582,783x = 1,194,453 × 1,194,453
  4. Step 4: Simplify right side
    582,783x = 1,426,717,969,209
  5. Step 5: Solve for x
    x = 1,426,717,969,209/582,783
  6. Step 6: Final answer
    x = 2,448,111.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.