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Finding the Third Proportional to 784,648 and 1,663,449.50

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Solution

The third proportional to 784,648 and 1,663,449.50 is: 3,526,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,648 : 1,663,449.50 = 1,663,449.50 : x
  2. Step 2: Convert to fraction form
    784,648/1,663,449.50 = 1,663,449.50/x
  3. Step 3: Cross multiply
    784,648x = 1,663,449.50 × 1,663,449.50
  4. Step 4: Simplify right side
    784,648x = 2,767,064,239,050.25
  5. Step 5: Solve for x
    x = 2,767,064,239,050.25/784,648
  6. Step 6: Final answer
    x = 3,526,503.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.