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Finding the Third Proportional to 759,460 and 1,617,096

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Solution

The third proportional to 759,460 and 1,617,096 is: 3,443,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,460 : 1,617,096 = 1,617,096 : x
  2. Step 2: Convert to fraction form
    759,460/1,617,096 = 1,617,096/x
  3. Step 3: Cross multiply
    759,460x = 1,617,096 × 1,617,096
  4. Step 4: Simplify right side
    759,460x = 2,614,999,473,216
  5. Step 5: Solve for x
    x = 2,614,999,473,216/759,460
  6. Step 6: Final answer
    x = 3,443,235.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.