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Finding the Third Proportional to 774,068.06 and 1,748,823.75

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Solution

The third proportional to 774,068.06 and 1,748,823.75 is: 3,951,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,068.06 : 1,748,823.75 = 1,748,823.75 : x
  2. Step 2: Convert to fraction form
    774,068.06/1,748,823.75 = 1,748,823.75/x
  3. Step 3: Cross multiply
    774,068.06x = 1,748,823.75 × 1,748,823.75
  4. Step 4: Simplify right side
    774,068.06x = 3,058,384,508,564.06
  5. Step 5: Solve for x
    x = 3,058,384,508,564.06/774,068.06
  6. Step 6: Final answer
    x = 3,951,053.73

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.