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Finding the Third Proportional to 977,991 and 2,062,182

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Solution

The third proportional to 977,991 and 2,062,182 is: 4,348,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,991 : 2,062,182 = 2,062,182 : x
  2. Step 2: Convert to fraction form
    977,991/2,062,182 = 2,062,182/x
  3. Step 3: Cross multiply
    977,991x = 2,062,182 × 2,062,182
  4. Step 4: Simplify right side
    977,991x = 4,252,594,601,124
  5. Step 5: Solve for x
    x = 4,252,594,601,124/977,991
  6. Step 6: Final answer
    x = 4,348,296.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.