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Finding the Third Proportional to 671,910.75 and 1,461,903.75

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Solution

The third proportional to 671,910.75 and 1,461,903.75 is: 3,180,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,910.75 : 1,461,903.75 = 1,461,903.75 : x
  2. Step 2: Convert to fraction form
    671,910.75/1,461,903.75 = 1,461,903.75/x
  3. Step 3: Cross multiply
    671,910.75x = 1,461,903.75 × 1,461,903.75
  4. Step 4: Simplify right side
    671,910.75x = 2,137,162,574,264.06
  5. Step 5: Solve for x
    x = 2,137,162,574,264.06/671,910.75
  6. Step 6: Final answer
    x = 3,180,723.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.