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Finding the Third Proportional to 1,699,098 and 2,573,324

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Solution

The third proportional to 1,699,098 and 2,573,324 is: 3,897,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,098 : 2,573,324 = 2,573,324 : x
  2. Step 2: Convert to fraction form
    1,699,098/2,573,324 = 2,573,324/x
  3. Step 3: Cross multiply
    1,699,098x = 2,573,324 × 2,573,324
  4. Step 4: Simplify right side
    1,699,098x = 6,621,996,408,976
  5. Step 5: Solve for x
    x = 6,621,996,408,976/1,699,098
  6. Step 6: Final answer
    x = 3,897,359.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.