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Finding the Third Proportional to 1,730,157.50 and 3,786,148

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Solution

The third proportional to 1,730,157.50 and 3,786,148 is: 8,285,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730,157.50 : 3,786,148 = 3,786,148 : x
  2. Step 2: Convert to fraction form
    1,730,157.50/3,786,148 = 3,786,148/x
  3. Step 3: Cross multiply
    1,730,157.50x = 3,786,148 × 3,786,148
  4. Step 4: Simplify right side
    1,730,157.50x = 14,334,916,677,904
  5. Step 5: Solve for x
    x = 14,334,916,677,904/1,730,157.50
  6. Step 6: Final answer
    x = 8,285,324.70

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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.