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Finding the Third Proportional to 976,230,296 and 1,487,185,991

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Solution

The third proportional to 976,230,296 and 1,487,185,991 is: 2,265,574,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,230,296 : 1,487,185,991 = 1,487,185,991 : x
  2. Step 2: Convert to fraction form
    976,230,296/1,487,185,991 = 1,487,185,991/x
  3. Step 3: Cross multiply
    976,230,296x = 1,487,185,991 × 1,487,185,991
  4. Step 4: Simplify right side
    976,230,296x = 2,211,722,171,826,652,160
  5. Step 5: Solve for x
    x = 2,211,722,171,826,652,160/976,230,296
  6. Step 6: Final answer
    x = 2,265,574,199.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.