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Finding the Third Proportional to 772,557.75 and 1,181,800.13

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Solution

The third proportional to 772,557.75 and 1,181,800.13 is: 1,807,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,557.75 : 1,181,800.13 = 1,181,800.13 : x
  2. Step 2: Convert to fraction form
    772,557.75/1,181,800.13 = 1,181,800.13/x
  3. Step 3: Cross multiply
    772,557.75x = 1,181,800.13 × 1,181,800.13
  4. Step 4: Simplify right side
    772,557.75x = 1,396,651,535,450.02
  5. Step 5: Solve for x
    x = 1,396,651,535,450.02/772,557.75
  6. Step 6: Final answer
    x = 1,807,828.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.