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Finding the Third Proportional to 593,533 and 1,399,702

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Solution

The third proportional to 593,533 and 1,399,702 is: 3,300,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,533 : 1,399,702 = 1,399,702 : x
  2. Step 2: Convert to fraction form
    593,533/1,399,702 = 1,399,702/x
  3. Step 3: Cross multiply
    593,533x = 1,399,702 × 1,399,702
  4. Step 4: Simplify right side
    593,533x = 1,959,165,688,804
  5. Step 5: Solve for x
    x = 1,959,165,688,804/593,533
  6. Step 6: Final answer
    x = 3,300,853.85

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Why These Related Problems?

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