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Finding the Third Proportional to 589,030 and 1,281,164

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Solution

The third proportional to 589,030 and 1,281,164 is: 2,786,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,030 : 1,281,164 = 1,281,164 : x
  2. Step 2: Convert to fraction form
    589,030/1,281,164 = 1,281,164/x
  3. Step 3: Cross multiply
    589,030x = 1,281,164 × 1,281,164
  4. Step 4: Simplify right side
    589,030x = 1,641,381,194,896
  5. Step 5: Solve for x
    x = 1,641,381,194,896/589,030
  6. Step 6: Final answer
    x = 2,786,583.36

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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.