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Finding the Third Proportional to 520,077,224 and 1,083,201,084

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Solution

The third proportional to 520,077,224 and 1,083,201,084 is: 2,256,058,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,077,224 : 1,083,201,084 = 1,083,201,084 : x
  2. Step 2: Convert to fraction form
    520,077,224/1,083,201,084 = 1,083,201,084/x
  3. Step 3: Cross multiply
    520,077,224x = 1,083,201,084 × 1,083,201,084
  4. Step 4: Simplify right side
    520,077,224x = 1,173,324,588,378,775,040
  5. Step 5: Solve for x
    x = 1,173,324,588,378,775,040/520,077,224
  6. Step 6: Final answer
    x = 2,256,058,397.16

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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.