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Finding the Third Proportional to 560,743 and 1,216,134

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Solution

The third proportional to 560,743 and 1,216,134 is: 2,637,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,743 : 1,216,134 = 1,216,134 : x
  2. Step 2: Convert to fraction form
    560,743/1,216,134 = 1,216,134/x
  3. Step 3: Cross multiply
    560,743x = 1,216,134 × 1,216,134
  4. Step 4: Simplify right side
    560,743x = 1,478,981,905,956
  5. Step 5: Solve for x
    x = 1,478,981,905,956/560,743
  6. Step 6: Final answer
    x = 2,637,539.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.