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Finding the Third Proportional to 911,816 and 1,991,464

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Solution

The third proportional to 911,816 and 1,991,464 is: 4,349,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,816 : 1,991,464 = 1,991,464 : x
  2. Step 2: Convert to fraction form
    911,816/1,991,464 = 1,991,464/x
  3. Step 3: Cross multiply
    911,816x = 1,991,464 × 1,991,464
  4. Step 4: Simplify right side
    911,816x = 3,965,928,863,296
  5. Step 5: Solve for x
    x = 3,965,928,863,296/911,816
  6. Step 6: Final answer
    x = 4,349,483.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.