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Finding the Third Proportional to 698,424 and 1,534,014

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Solution

The third proportional to 698,424 and 1,534,014 is: 3,369,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,424 : 1,534,014 = 1,534,014 : x
  2. Step 2: Convert to fraction form
    698,424/1,534,014 = 1,534,014/x
  3. Step 3: Cross multiply
    698,424x = 1,534,014 × 1,534,014
  4. Step 4: Simplify right side
    698,424x = 2,353,198,952,196
  5. Step 5: Solve for x
    x = 2,353,198,952,196/698,424
  6. Step 6: Final answer
    x = 3,369,298.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.