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Finding the Third Proportional to 1,327,413 and 2,058,835.50

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Solution

The third proportional to 1,327,413 and 2,058,835.50 is: 3,193,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,413 : 2,058,835.50 = 2,058,835.50 : x
  2. Step 2: Convert to fraction form
    1,327,413/2,058,835.50 = 2,058,835.50/x
  3. Step 3: Cross multiply
    1,327,413x = 2,058,835.50 × 2,058,835.50
  4. Step 4: Simplify right side
    1,327,413x = 4,238,803,616,060.25
  5. Step 5: Solve for x
    x = 4,238,803,616,060.25/1,327,413
  6. Step 6: Final answer
    x = 3,193,281.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.