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Finding the Third Proportional to 664,602.75 and 1,457,863.88

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Solution

The third proportional to 664,602.75 and 1,457,863.88 is: 3,197,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,602.75 : 1,457,863.88 = 1,457,863.88 : x
  2. Step 2: Convert to fraction form
    664,602.75/1,457,863.88 = 1,457,863.88/x
  3. Step 3: Cross multiply
    664,602.75x = 1,457,863.88 × 1,457,863.88
  4. Step 4: Simplify right side
    664,602.75x = 2,125,367,078,030.02
  5. Step 5: Solve for x
    x = 2,125,367,078,030.02/664,602.75
  6. Step 6: Final answer
    x = 3,197,951.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.