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Finding the Third Proportional to 771,828.75 and 2,048,695.03

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Solution

The third proportional to 771,828.75 and 2,048,695.03 is: 5,437,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,828.75 : 2,048,695.03 = 2,048,695.03 : x
  2. Step 2: Convert to fraction form
    771,828.75/2,048,695.03 = 2,048,695.03/x
  3. Step 3: Cross multiply
    771,828.75x = 2,048,695.03 × 2,048,695.03
  4. Step 4: Simplify right side
    771,828.75x = 4,197,151,331,068.44
  5. Step 5: Solve for x
    x = 4,197,151,331,068.44/771,828.75
  6. Step 6: Final answer
    x = 5,437,930.80

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These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.