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Finding the Third Proportional to 1,206,799.50 and 1,662,373.50

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Solution

The third proportional to 1,206,799.50 and 1,662,373.50 is: 2,289,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,799.50 : 1,662,373.50 = 1,662,373.50 : x
  2. Step 2: Convert to fraction form
    1,206,799.50/1,662,373.50 = 1,662,373.50/x
  3. Step 3: Cross multiply
    1,206,799.50x = 1,662,373.50 × 1,662,373.50
  4. Step 4: Simplify right side
    1,206,799.50x = 2,763,485,653,502.25
  5. Step 5: Solve for x
    x = 2,763,485,653,502.25/1,206,799.50
  6. Step 6: Final answer
    x = 2,289,929.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.