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Finding the Third Proportional to 582,144 and 1,252,818

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Solution

The third proportional to 582,144 and 1,252,818 is: 2,696,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,144 : 1,252,818 = 1,252,818 : x
  2. Step 2: Convert to fraction form
    582,144/1,252,818 = 1,252,818/x
  3. Step 3: Cross multiply
    582,144x = 1,252,818 × 1,252,818
  4. Step 4: Simplify right side
    582,144x = 1,569,552,941,124
  5. Step 5: Solve for x
    x = 1,569,552,941,124/582,144
  6. Step 6: Final answer
    x = 2,696,159.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.