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Finding the Third Proportional to 582,280 and 1,273,178

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Solution

The third proportional to 582,280 and 1,273,178 is: 2,783,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,280 : 1,273,178 = 1,273,178 : x
  2. Step 2: Convert to fraction form
    582,280/1,273,178 = 1,273,178/x
  3. Step 3: Cross multiply
    582,280x = 1,273,178 × 1,273,178
  4. Step 4: Simplify right side
    582,280x = 1,620,982,219,684
  5. Step 5: Solve for x
    x = 1,620,982,219,684/582,280
  6. Step 6: Final answer
    x = 2,783,853.51

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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.