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Finding the Third Proportional to 520,078,005 and 1,083,202,974

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Solution

The third proportional to 520,078,005 and 1,083,202,974 is: 2,256,062,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,078,005 : 1,083,202,974 = 1,083,202,974 : x
  2. Step 2: Convert to fraction form
    520,078,005/1,083,202,974 = 1,083,202,974/x
  3. Step 3: Cross multiply
    520,078,005x = 1,083,202,974 × 1,083,202,974
  4. Step 4: Simplify right side
    520,078,005x = 1,173,328,682,882,444,800
  5. Step 5: Solve for x
    x = 1,173,328,682,882,444,800/520,078,005
  6. Step 6: Final answer
    x = 2,256,062,882.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.