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Finding the Third Proportional to 589,036 and 1,281,176

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Solution

The third proportional to 589,036 and 1,281,176 is: 2,786,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,036 : 1,281,176 = 1,281,176 : x
  2. Step 2: Convert to fraction form
    589,036/1,281,176 = 1,281,176/x
  3. Step 3: Cross multiply
    589,036x = 1,281,176 × 1,281,176
  4. Step 4: Simplify right side
    589,036x = 1,641,411,942,976
  5. Step 5: Solve for x
    x = 1,641,411,942,976/589,036
  6. Step 6: Final answer
    x = 2,786,607.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.