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Finding the Third Proportional to 759,370 and 1,670,324

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Solution

The third proportional to 759,370 and 1,670,324 is: 3,674,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,370 : 1,670,324 = 1,670,324 : x
  2. Step 2: Convert to fraction form
    759,370/1,670,324 = 1,670,324/x
  3. Step 3: Cross multiply
    759,370x = 1,670,324 × 1,670,324
  4. Step 4: Simplify right side
    759,370x = 2,789,982,264,976
  5. Step 5: Solve for x
    x = 2,789,982,264,976/759,370
  6. Step 6: Final answer
    x = 3,674,074.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.