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Finding the Third Proportional to 919,226,838 and 1,375,583,382

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Solution

The third proportional to 919,226,838 and 1,375,583,382 is: 2,058,501,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,226,838 : 1,375,583,382 = 1,375,583,382 : x
  2. Step 2: Convert to fraction form
    919,226,838/1,375,583,382 = 1,375,583,382/x
  3. Step 3: Cross multiply
    919,226,838x = 1,375,583,382 × 1,375,583,382
  4. Step 4: Simplify right side
    919,226,838x = 1,892,229,640,834,557,952
  5. Step 5: Solve for x
    x = 1,892,229,640,834,557,952/919,226,838
  6. Step 6: Final answer
    x = 2,058,501,299.80

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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.