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Finding the Third Proportional to 684,059 and 1,499,461

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Solution

The third proportional to 684,059 and 1,499,461 is: 3,286,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,059 : 1,499,461 = 1,499,461 : x
  2. Step 2: Convert to fraction form
    684,059/1,499,461 = 1,499,461/x
  3. Step 3: Cross multiply
    684,059x = 1,499,461 × 1,499,461
  4. Step 4: Simplify right side
    684,059x = 2,248,383,290,521
  5. Step 5: Solve for x
    x = 2,248,383,290,521/684,059
  6. Step 6: Final answer
    x = 3,286,826.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.