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Finding the Third Proportional to 585,674 and 1,283,414

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Solution

The third proportional to 585,674 and 1,283,414 is: 2,812,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,674 : 1,283,414 = 1,283,414 : x
  2. Step 2: Convert to fraction form
    585,674/1,283,414 = 1,283,414/x
  3. Step 3: Cross multiply
    585,674x = 1,283,414 × 1,283,414
  4. Step 4: Simplify right side
    585,674x = 1,647,151,495,396
  5. Step 5: Solve for x
    x = 1,647,151,495,396/585,674
  6. Step 6: Final answer
    x = 2,812,403.31

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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.