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Finding the Third Proportional to 1,548,400 and 3,238,712

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Solution

The third proportional to 1,548,400 and 3,238,712 is: 6,774,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,400 : 3,238,712 = 3,238,712 : x
  2. Step 2: Convert to fraction form
    1,548,400/3,238,712 = 3,238,712/x
  3. Step 3: Cross multiply
    1,548,400x = 3,238,712 × 3,238,712
  4. Step 4: Simplify right side
    1,548,400x = 10,489,255,418,944
  5. Step 5: Solve for x
    x = 10,489,255,418,944/1,548,400
  6. Step 6: Final answer
    x = 6,774,254.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.