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Finding the Third Proportional to 590,778 and 1,265,619

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Solution

The third proportional to 590,778 and 1,265,619 is: 2,711,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,778 : 1,265,619 = 1,265,619 : x
  2. Step 2: Convert to fraction form
    590,778/1,265,619 = 1,265,619/x
  3. Step 3: Cross multiply
    590,778x = 1,265,619 × 1,265,619
  4. Step 4: Simplify right side
    590,778x = 1,601,791,453,161
  5. Step 5: Solve for x
    x = 1,601,791,453,161/590,778
  6. Step 6: Final answer
    x = 2,711,325.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.