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Finding the Third Proportional to 786,057.75 and 1,185,607.13

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Solution

The third proportional to 786,057.75 and 1,185,607.13 is: 1,788,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,057.75 : 1,185,607.13 = 1,185,607.13 : x
  2. Step 2: Convert to fraction form
    786,057.75/1,185,607.13 = 1,185,607.13/x
  3. Step 3: Cross multiply
    786,057.75x = 1,185,607.13 × 1,185,607.13
  4. Step 4: Simplify right side
    786,057.75x = 1,405,664,254,850.77
  5. Step 5: Solve for x
    x = 1,405,664,254,850.77/786,057.75
  6. Step 6: Final answer
    x = 1,788,245.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.