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Finding the Third Proportional to 613,506 and 947,619

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Solution

The third proportional to 613,506 and 947,619 is: 1,463,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,506 : 947,619 = 947,619 : x
  2. Step 2: Convert to fraction form
    613,506/947,619 = 947,619/x
  3. Step 3: Cross multiply
    613,506x = 947,619 × 947,619
  4. Step 4: Simplify right side
    613,506x = 897,981,769,161
  5. Step 5: Solve for x
    x = 897,981,769,161/613,506
  6. Step 6: Final answer
    x = 1,463,688.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.