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Finding the Third Proportional to 830,550 and 1,187,685

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Solution

The third proportional to 830,550 and 1,187,685 is: 1,698,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,550 : 1,187,685 = 1,187,685 : x
  2. Step 2: Convert to fraction form
    830,550/1,187,685 = 1,187,685/x
  3. Step 3: Cross multiply
    830,550x = 1,187,685 × 1,187,685
  4. Step 4: Simplify right side
    830,550x = 1,410,595,659,225
  5. Step 5: Solve for x
    x = 1,410,595,659,225/830,550
  6. Step 6: Final answer
    x = 1,698,387.41

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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.