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Finding the Third Proportional to 916,843 and 1,991,461

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Solution

The third proportional to 916,843 and 1,991,461 is: 4,325,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,843 : 1,991,461 = 1,991,461 : x
  2. Step 2: Convert to fraction form
    916,843/1,991,461 = 1,991,461/x
  3. Step 3: Cross multiply
    916,843x = 1,991,461 × 1,991,461
  4. Step 4: Simplify right side
    916,843x = 3,965,916,914,521
  5. Step 5: Solve for x
    x = 3,965,916,914,521/916,843
  6. Step 6: Final answer
    x = 4,325,622.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.