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Finding the Third Proportional to 613,083 and 956,877

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Solution

The third proportional to 613,083 and 956,877 is: 1,493,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,083 : 956,877 = 956,877 : x
  2. Step 2: Convert to fraction form
    613,083/956,877 = 956,877/x
  3. Step 3: Cross multiply
    613,083x = 956,877 × 956,877
  4. Step 4: Simplify right side
    613,083x = 915,613,593,129
  5. Step 5: Solve for x
    x = 915,613,593,129/613,083
  6. Step 6: Final answer
    x = 1,493,457.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.