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Finding the Third Proportional to 759,360 and 1,670,304

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Solution

The third proportional to 759,360 and 1,670,304 is: 3,674,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,360 : 1,670,304 = 1,670,304 : x
  2. Step 2: Convert to fraction form
    759,360/1,670,304 = 1,670,304/x
  3. Step 3: Cross multiply
    759,360x = 1,670,304 × 1,670,304
  4. Step 4: Simplify right side
    759,360x = 2,789,915,452,416
  5. Step 5: Solve for x
    x = 2,789,915,452,416/759,360
  6. Step 6: Final answer
    x = 3,674,035.31

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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.