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Finding the Third Proportional to 912,844 and 1,335,462

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Solution

The third proportional to 912,844 and 1,335,462 is: 1,953,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,844 : 1,335,462 = 1,335,462 : x
  2. Step 2: Convert to fraction form
    912,844/1,335,462 = 1,335,462/x
  3. Step 3: Cross multiply
    912,844x = 1,335,462 × 1,335,462
  4. Step 4: Simplify right side
    912,844x = 1,783,458,753,444
  5. Step 5: Solve for x
    x = 1,783,458,753,444/912,844
  6. Step 6: Final answer
    x = 1,953,738.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.