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Finding the Third Proportional to 953,144 and 1,972,384

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Solution

The third proportional to 953,144 and 1,972,384 is: 4,081,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,144 : 1,972,384 = 1,972,384 : x
  2. Step 2: Convert to fraction form
    953,144/1,972,384 = 1,972,384/x
  3. Step 3: Cross multiply
    953,144x = 1,972,384 × 1,972,384
  4. Step 4: Simplify right side
    953,144x = 3,890,298,643,456
  5. Step 5: Solve for x
    x = 3,890,298,643,456/953,144
  6. Step 6: Final answer
    x = 4,081,543.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.