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Finding the Third Proportional to 661,097 and 1,432,102

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Solution

The third proportional to 661,097 and 1,432,102 is: 3,102,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,097 : 1,432,102 = 1,432,102 : x
  2. Step 2: Convert to fraction form
    661,097/1,432,102 = 1,432,102/x
  3. Step 3: Cross multiply
    661,097x = 1,432,102 × 1,432,102
  4. Step 4: Simplify right side
    661,097x = 2,050,916,138,404
  5. Step 5: Solve for x
    x = 2,050,916,138,404/661,097
  6. Step 6: Final answer
    x = 3,102,292.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.