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Finding the Third Proportional to 744,364.69 and 1,614,729.94

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Solution

The third proportional to 744,364.69 and 1,614,729.94 is: 3,502,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,364.69 : 1,614,729.94 = 1,614,729.94 : x
  2. Step 2: Convert to fraction form
    744,364.69/1,614,729.94 = 1,614,729.94/x
  3. Step 3: Cross multiply
    744,364.69x = 1,614,729.94 × 1,614,729.94
  4. Step 4: Simplify right side
    744,364.69x = 2,607,352,771,058.75
  5. Step 5: Solve for x
    x = 2,607,352,771,058.75/744,364.69
  6. Step 6: Final answer
    x = 3,502,789.45

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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.