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Finding the Third Proportional to 774,064.69 and 1,195,610.63

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Solution

The third proportional to 774,064.69 and 1,195,610.63 is: 1,846,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,064.69 : 1,195,610.63 = 1,195,610.63 : x
  2. Step 2: Convert to fraction form
    774,064.69/1,195,610.63 = 1,195,610.63/x
  3. Step 3: Cross multiply
    774,064.69x = 1,195,610.63 × 1,195,610.63
  4. Step 4: Simplify right side
    774,064.69x = 1,429,484,766,612.89
  5. Step 5: Solve for x
    x = 1,429,484,766,612.89/774,064.69
  6. Step 6: Final answer
    x = 1,846,725.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.