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Finding the Third Proportional to 652,212 and 901,216

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Solution

The third proportional to 652,212 and 901,216 is: 1,245,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,212 : 901,216 = 901,216 : x
  2. Step 2: Convert to fraction form
    652,212/901,216 = 901,216/x
  3. Step 3: Cross multiply
    652,212x = 901,216 × 901,216
  4. Step 4: Simplify right side
    652,212x = 812,190,278,656
  5. Step 5: Solve for x
    x = 812,190,278,656/652,212
  6. Step 6: Final answer
    x = 1,245,285.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.