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Finding the Third Proportional to 1,298,652 and 1,997,229

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Solution

The third proportional to 1,298,652 and 1,997,229 is: 3,071,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,652 : 1,997,229 = 1,997,229 : x
  2. Step 2: Convert to fraction form
    1,298,652/1,997,229 = 1,997,229/x
  3. Step 3: Cross multiply
    1,298,652x = 1,997,229 × 1,997,229
  4. Step 4: Simplify right side
    1,298,652x = 3,988,923,678,441
  5. Step 5: Solve for x
    x = 3,988,923,678,441/1,298,652
  6. Step 6: Final answer
    x = 3,071,587.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.