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Finding the Third Proportional to 744,827.50 and 1,579,034

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Solution

The third proportional to 744,827.50 and 1,579,034 is: 3,347,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,827.50 : 1,579,034 = 1,579,034 : x
  2. Step 2: Convert to fraction form
    744,827.50/1,579,034 = 1,579,034/x
  3. Step 3: Cross multiply
    744,827.50x = 1,579,034 × 1,579,034
  4. Step 4: Simplify right side
    744,827.50x = 2,493,348,373,156
  5. Step 5: Solve for x
    x = 2,493,348,373,156/744,827.50
  6. Step 6: Final answer
    x = 3,347,551.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.