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Finding the Third Proportional to 658,707 and 1,419,030

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Solution

The third proportional to 658,707 and 1,419,030 is: 3,056,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,707 : 1,419,030 = 1,419,030 : x
  2. Step 2: Convert to fraction form
    658,707/1,419,030 = 1,419,030/x
  3. Step 3: Cross multiply
    658,707x = 1,419,030 × 1,419,030
  4. Step 4: Simplify right side
    658,707x = 2,013,646,140,900
  5. Step 5: Solve for x
    x = 2,013,646,140,900/658,707
  6. Step 6: Final answer
    x = 3,056,967.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.