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Finding the Third Proportional to 916,913 and 1,416,923

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Solution

The third proportional to 916,913 and 1,416,923 is: 2,189,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,913 : 1,416,923 = 1,416,923 : x
  2. Step 2: Convert to fraction form
    916,913/1,416,923 = 1,416,923/x
  3. Step 3: Cross multiply
    916,913x = 1,416,923 × 1,416,923
  4. Step 4: Simplify right side
    916,913x = 2,007,670,787,929
  5. Step 5: Solve for x
    x = 2,007,670,787,929/916,913
  6. Step 6: Final answer
    x = 2,189,597.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.