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Finding the Third Proportional to 919,226,834 and 1,375,583,376

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Solution

The third proportional to 919,226,834 and 1,375,583,376 is: 2,058,501,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,226,834 : 1,375,583,376 = 1,375,583,376 : x
  2. Step 2: Convert to fraction form
    919,226,834/1,375,583,376 = 1,375,583,376/x
  3. Step 3: Cross multiply
    919,226,834x = 1,375,583,376 × 1,375,583,376
  4. Step 4: Simplify right side
    919,226,834x = 1,892,229,624,327,557,376
  5. Step 5: Solve for x
    x = 1,892,229,624,327,557,376/919,226,834
  6. Step 6: Final answer
    x = 2,058,501,290.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.