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Finding the Third Proportional to 917,723.50 and 1,477,460.75

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Solution

The third proportional to 917,723.50 and 1,477,460.75 is: 2,378,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,723.50 : 1,477,460.75 = 1,477,460.75 : x
  2. Step 2: Convert to fraction form
    917,723.50/1,477,460.75 = 1,477,460.75/x
  3. Step 3: Cross multiply
    917,723.50x = 1,477,460.75 × 1,477,460.75
  4. Step 4: Simplify right side
    917,723.50x = 2,182,890,267,790.56
  5. Step 5: Solve for x
    x = 2,182,890,267,790.56/917,723.50
  6. Step 6: Final answer
    x = 2,378,592.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.