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Finding the Third Proportional to 948,774 and 1,477,593

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Solution

The third proportional to 948,774 and 1,477,593 is: 2,301,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,774 : 1,477,593 = 1,477,593 : x
  2. Step 2: Convert to fraction form
    948,774/1,477,593 = 1,477,593/x
  3. Step 3: Cross multiply
    948,774x = 1,477,593 × 1,477,593
  4. Step 4: Simplify right side
    948,774x = 2,183,281,073,649
  5. Step 5: Solve for x
    x = 2,183,281,073,649/948,774
  6. Step 6: Final answer
    x = 2,301,160.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.