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Finding the Third Proportional to 411,050 and 891,976

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Solution

The third proportional to 411,050 and 891,976 is: 1,935,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,050 : 891,976 = 891,976 : x
  2. Step 2: Convert to fraction form
    411,050/891,976 = 891,976/x
  3. Step 3: Cross multiply
    411,050x = 891,976 × 891,976
  4. Step 4: Simplify right side
    411,050x = 795,621,184,576
  5. Step 5: Solve for x
    x = 795,621,184,576/411,050
  6. Step 6: Final answer
    x = 1,935,582.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.