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Finding the Third Proportional to 747,932 and 1,631,240

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Solution

The third proportional to 747,932 and 1,631,240 is: 3,557,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,932 : 1,631,240 = 1,631,240 : x
  2. Step 2: Convert to fraction form
    747,932/1,631,240 = 1,631,240/x
  3. Step 3: Cross multiply
    747,932x = 1,631,240 × 1,631,240
  4. Step 4: Simplify right side
    747,932x = 2,660,943,937,600
  5. Step 5: Solve for x
    x = 2,660,943,937,600/747,932
  6. Step 6: Final answer
    x = 3,557,735.11

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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.