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Finding the Third Proportional to 678,739.50 and 1,423,575

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Solution

The third proportional to 678,739.50 and 1,423,575 is: 2,985,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,739.50 : 1,423,575 = 1,423,575 : x
  2. Step 2: Convert to fraction form
    678,739.50/1,423,575 = 1,423,575/x
  3. Step 3: Cross multiply
    678,739.50x = 1,423,575 × 1,423,575
  4. Step 4: Simplify right side
    678,739.50x = 2,026,565,780,625
  5. Step 5: Solve for x
    x = 2,026,565,780,625/678,739.50
  6. Step 6: Final answer
    x = 2,985,778.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.