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Finding the Third Proportional to 593,559 and 919,659

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Solution

The third proportional to 593,559 and 919,659 is: 1,424,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,559 : 919,659 = 919,659 : x
  2. Step 2: Convert to fraction form
    593,559/919,659 = 919,659/x
  3. Step 3: Cross multiply
    593,559x = 919,659 × 919,659
  4. Step 4: Simplify right side
    593,559x = 845,772,676,281
  5. Step 5: Solve for x
    x = 845,772,676,281/593,559
  6. Step 6: Final answer
    x = 1,424,917.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.