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Finding the Third Proportional to 678,582.75 and 1,461,421.75

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Solution

The third proportional to 678,582.75 and 1,461,421.75 is: 3,147,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,582.75 : 1,461,421.75 = 1,461,421.75 : x
  2. Step 2: Convert to fraction form
    678,582.75/1,461,421.75 = 1,461,421.75/x
  3. Step 3: Cross multiply
    678,582.75x = 1,461,421.75 × 1,461,421.75
  4. Step 4: Simplify right side
    678,582.75x = 2,135,753,531,373.06
  5. Step 5: Solve for x
    x = 2,135,753,531,373.06/678,582.75
  6. Step 6: Final answer
    x = 3,147,373.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.