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Finding the Third Proportional to 545,953.50 and 1,186,219.69

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Solution

The third proportional to 545,953.50 and 1,186,219.69 is: 2,577,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,953.50 : 1,186,219.69 = 1,186,219.69 : x
  2. Step 2: Convert to fraction form
    545,953.50/1,186,219.69 = 1,186,219.69/x
  3. Step 3: Cross multiply
    545,953.50x = 1,186,219.69 × 1,186,219.69
  4. Step 4: Simplify right side
    545,953.50x = 1,407,117,147,012.60
  5. Step 5: Solve for x
    x = 1,407,117,147,012.60/545,953.50
  6. Step 6: Final answer
    x = 2,577,357.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.