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Finding the Third Proportional to 830,577 and 1,187,712

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Solution

The third proportional to 830,577 and 1,187,712 is: 1,698,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,577 : 1,187,712 = 1,187,712 : x
  2. Step 2: Convert to fraction form
    830,577/1,187,712 = 1,187,712/x
  3. Step 3: Cross multiply
    830,577x = 1,187,712 × 1,187,712
  4. Step 4: Simplify right side
    830,577x = 1,410,659,794,944
  5. Step 5: Solve for x
    x = 1,410,659,794,944/830,577
  6. Step 6: Final answer
    x = 1,698,409.41

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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.