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Finding the Third Proportional to 1,417,898 and 2,179,407

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Solution

The third proportional to 1,417,898 and 2,179,407 is: 3,349,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,898 : 2,179,407 = 2,179,407 : x
  2. Step 2: Convert to fraction form
    1,417,898/2,179,407 = 2,179,407/x
  3. Step 3: Cross multiply
    1,417,898x = 2,179,407 × 2,179,407
  4. Step 4: Simplify right side
    1,417,898x = 4,749,814,871,649
  5. Step 5: Solve for x
    x = 4,749,814,871,649/1,417,898
  6. Step 6: Final answer
    x = 3,349,898.84

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Why These Related Problems?

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