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Finding the Third Proportional to 774,630.75 and 1,677,898.50

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Solution

The third proportional to 774,630.75 and 1,677,898.50 is: 3,634,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,630.75 : 1,677,898.50 = 1,677,898.50 : x
  2. Step 2: Convert to fraction form
    774,630.75/1,677,898.50 = 1,677,898.50/x
  3. Step 3: Cross multiply
    774,630.75x = 1,677,898.50 × 1,677,898.50
  4. Step 4: Simplify right side
    774,630.75x = 2,815,343,376,302.25
  5. Step 5: Solve for x
    x = 2,815,343,376,302.25/774,630.75
  6. Step 6: Final answer
    x = 3,634,432.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.