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Finding the Third Proportional to 731,595 and 1,597,254

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Solution

The third proportional to 731,595 and 1,597,254 is: 3,487,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,595 : 1,597,254 = 1,597,254 : x
  2. Step 2: Convert to fraction form
    731,595/1,597,254 = 1,597,254/x
  3. Step 3: Cross multiply
    731,595x = 1,597,254 × 1,597,254
  4. Step 4: Simplify right side
    731,595x = 2,551,220,340,516
  5. Step 5: Solve for x
    x = 2,551,220,340,516/731,595
  6. Step 6: Final answer
    x = 3,487,203.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.