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Finding the Third Proportional to 830,556 and 1,187,694

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Solution

The third proportional to 830,556 and 1,187,694 is: 1,698,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,556 : 1,187,694 = 1,187,694 : x
  2. Step 2: Convert to fraction form
    830,556/1,187,694 = 1,187,694/x
  3. Step 3: Cross multiply
    830,556x = 1,187,694 × 1,187,694
  4. Step 4: Simplify right side
    830,556x = 1,410,617,037,636
  5. Step 5: Solve for x
    x = 1,410,617,037,636/830,556
  6. Step 6: Final answer
    x = 1,698,400.88

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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.