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Finding the Third Proportional to 1,769,314.50 and 2,668,590

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Solution

The third proportional to 1,769,314.50 and 2,668,590 is: 4,024,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,314.50 : 2,668,590 = 2,668,590 : x
  2. Step 2: Convert to fraction form
    1,769,314.50/2,668,590 = 2,668,590/x
  3. Step 3: Cross multiply
    1,769,314.50x = 2,668,590 × 2,668,590
  4. Step 4: Simplify right side
    1,769,314.50x = 7,121,372,588,100
  5. Step 5: Solve for x
    x = 7,121,372,588,100/1,769,314.50
  6. Step 6: Final answer
    x = 4,024,933.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.