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Finding the Third Proportional to 1,685,158.50 and 3,685,590

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Solution

The third proportional to 1,685,158.50 and 3,685,590 is: 8,060,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,158.50 : 3,685,590 = 3,685,590 : x
  2. Step 2: Convert to fraction form
    1,685,158.50/3,685,590 = 3,685,590/x
  3. Step 3: Cross multiply
    1,685,158.50x = 3,685,590 × 3,685,590
  4. Step 4: Simplify right side
    1,685,158.50x = 13,583,573,648,100
  5. Step 5: Solve for x
    x = 13,583,573,648,100/1,685,158.50
  6. Step 6: Final answer
    x = 8,060,709.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.