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Finding the Third Proportional to 651,241 and 1,388,504

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Solution

The third proportional to 651,241 and 1,388,504 is: 2,960,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,241 : 1,388,504 = 1,388,504 : x
  2. Step 2: Convert to fraction form
    651,241/1,388,504 = 1,388,504/x
  3. Step 3: Cross multiply
    651,241x = 1,388,504 × 1,388,504
  4. Step 4: Simplify right side
    651,241x = 1,927,943,358,016
  5. Step 5: Solve for x
    x = 1,927,943,358,016/651,241
  6. Step 6: Final answer
    x = 2,960,414.59

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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.