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Finding the Third Proportional to 545,295.09 and 1,164,808.97

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Solution

The third proportional to 545,295.09 and 1,164,808.97 is: 2,488,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,295.09 : 1,164,808.97 = 1,164,808.97 : x
  2. Step 2: Convert to fraction form
    545,295.09/1,164,808.97 = 1,164,808.97/x
  3. Step 3: Cross multiply
    545,295.09x = 1,164,808.97 × 1,164,808.97
  4. Step 4: Simplify right side
    545,295.09x = 1,356,779,933,680.44
  5. Step 5: Solve for x
    x = 1,356,779,933,680.44/545,295.09
  6. Step 6: Final answer
    x = 2,488,157.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.