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Finding the Third Proportional to 934,444 and 1,463,950

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Solution

The third proportional to 934,444 and 1,463,950 is: 2,293,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,444 : 1,463,950 = 1,463,950 : x
  2. Step 2: Convert to fraction form
    934,444/1,463,950 = 1,463,950/x
  3. Step 3: Cross multiply
    934,444x = 1,463,950 × 1,463,950
  4. Step 4: Simplify right side
    934,444x = 2,143,149,602,500
  5. Step 5: Solve for x
    x = 2,143,149,602,500/934,444
  6. Step 6: Final answer
    x = 2,293,502.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.