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Finding the Third Proportional to 757,578 and 1,683,312

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Solution

The third proportional to 757,578 and 1,683,312 is: 3,740,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,578 : 1,683,312 = 1,683,312 : x
  2. Step 2: Convert to fraction form
    757,578/1,683,312 = 1,683,312/x
  3. Step 3: Cross multiply
    757,578x = 1,683,312 × 1,683,312
  4. Step 4: Simplify right side
    757,578x = 2,833,539,289,344
  5. Step 5: Solve for x
    x = 2,833,539,289,344/757,578
  6. Step 6: Final answer
    x = 3,740,260.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.