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Finding the Third Proportional to 589,620 and 1,386,042

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Solution

The third proportional to 589,620 and 1,386,042 is: 3,258,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,620 : 1,386,042 = 1,386,042 : x
  2. Step 2: Convert to fraction form
    589,620/1,386,042 = 1,386,042/x
  3. Step 3: Cross multiply
    589,620x = 1,386,042 × 1,386,042
  4. Step 4: Simplify right side
    589,620x = 1,921,112,425,764
  5. Step 5: Solve for x
    x = 1,921,112,425,764/589,620
  6. Step 6: Final answer
    x = 3,258,221.27

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.