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Finding the Third Proportional to 585,746 and 1,278,898

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Solution

The third proportional to 585,746 and 1,278,898 is: 2,792,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,746 : 1,278,898 = 1,278,898 : x
  2. Step 2: Convert to fraction form
    585,746/1,278,898 = 1,278,898/x
  3. Step 3: Cross multiply
    585,746x = 1,278,898 × 1,278,898
  4. Step 4: Simplify right side
    585,746x = 1,635,580,094,404
  5. Step 5: Solve for x
    x = 1,635,580,094,404/585,746
  6. Step 6: Final answer
    x = 2,792,302.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.