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Finding the Third Proportional to 593,215 and 1,399,747

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Solution

The third proportional to 593,215 and 1,399,747 is: 3,302,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,215 : 1,399,747 = 1,399,747 : x
  2. Step 2: Convert to fraction form
    593,215/1,399,747 = 1,399,747/x
  3. Step 3: Cross multiply
    593,215x = 1,399,747 × 1,399,747
  4. Step 4: Simplify right side
    593,215x = 1,959,291,664,009
  5. Step 5: Solve for x
    x = 1,959,291,664,009/593,215
  6. Step 6: Final answer
    x = 3,302,835.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.