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Finding the Third Proportional to 582,146 and 1,252,822

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Solution

The third proportional to 582,146 and 1,252,822 is: 2,696,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,146 : 1,252,822 = 1,252,822 : x
  2. Step 2: Convert to fraction form
    582,146/1,252,822 = 1,252,822/x
  3. Step 3: Cross multiply
    582,146x = 1,252,822 × 1,252,822
  4. Step 4: Simplify right side
    582,146x = 1,569,562,963,684
  5. Step 5: Solve for x
    x = 1,569,562,963,684/582,146
  6. Step 6: Final answer
    x = 2,696,167.22

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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.