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Finding the Third Proportional to 962,241 and 1,345,272

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Solution

The third proportional to 962,241 and 1,345,272 is: 1,880,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,241 : 1,345,272 = 1,345,272 : x
  2. Step 2: Convert to fraction form
    962,241/1,345,272 = 1,345,272/x
  3. Step 3: Cross multiply
    962,241x = 1,345,272 × 1,345,272
  4. Step 4: Simplify right side
    962,241x = 1,809,756,753,984
  5. Step 5: Solve for x
    x = 1,809,756,753,984/962,241
  6. Step 6: Final answer
    x = 1,880,772.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.