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Finding the Third Proportional to 772,783.88 and 1,683,018

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Solution

The third proportional to 772,783.88 and 1,683,018 is: 3,665,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,783.88 : 1,683,018 = 1,683,018 : x
  2. Step 2: Convert to fraction form
    772,783.88/1,683,018 = 1,683,018/x
  3. Step 3: Cross multiply
    772,783.88x = 1,683,018 × 1,683,018
  4. Step 4: Simplify right side
    772,783.88x = 2,832,549,588,324
  5. Step 5: Solve for x
    x = 2,832,549,588,324/772,783.88
  6. Step 6: Final answer
    x = 3,665,383.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.