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Finding the Third Proportional to 856,088 and 1,327,416

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Solution

The third proportional to 856,088 and 1,327,416 is: 2,058,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,088 : 1,327,416 = 1,327,416 : x
  2. Step 2: Convert to fraction form
    856,088/1,327,416 = 1,327,416/x
  3. Step 3: Cross multiply
    856,088x = 1,327,416 × 1,327,416
  4. Step 4: Simplify right side
    856,088x = 1,762,033,237,056
  5. Step 5: Solve for x
    x = 1,762,033,237,056/856,088
  6. Step 6: Final answer
    x = 2,058,238.45

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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.