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Finding the Third Proportional to 786,003.75 and 1,217,409.75

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Solution

The third proportional to 786,003.75 and 1,217,409.75 is: 1,885,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,003.75 : 1,217,409.75 = 1,217,409.75 : x
  2. Step 2: Convert to fraction form
    786,003.75/1,217,409.75 = 1,217,409.75/x
  3. Step 3: Cross multiply
    786,003.75x = 1,217,409.75 × 1,217,409.75
  4. Step 4: Simplify right side
    786,003.75x = 1,482,086,499,395.06
  5. Step 5: Solve for x
    x = 1,482,086,499,395.06/786,003.75
  6. Step 6: Final answer
    x = 1,885,597.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.