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Finding the Third Proportional to 830,527.88 and 1,187,646.75

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Solution

The third proportional to 830,527.88 and 1,187,646.75 is: 1,698,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,527.88 : 1,187,646.75 = 1,187,646.75 : x
  2. Step 2: Convert to fraction form
    830,527.88/1,187,646.75 = 1,187,646.75/x
  3. Step 3: Cross multiply
    830,527.88x = 1,187,646.75 × 1,187,646.75
  4. Step 4: Simplify right side
    830,527.88x = 1,410,504,802,785.56
  5. Step 5: Solve for x
    x = 1,410,504,802,785.56/830,527.88
  6. Step 6: Final answer
    x = 1,698,323.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.