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Finding the Third Proportional to 519,993,109 and 1,058,146,586

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Solution

The third proportional to 519,993,109 and 1,058,146,586 is: 2,153,248,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,993,109 : 1,058,146,586 = 1,058,146,586 : x
  2. Step 2: Convert to fraction form
    519,993,109/1,058,146,586 = 1,058,146,586/x
  3. Step 3: Cross multiply
    519,993,109x = 1,058,146,586 × 1,058,146,586
  4. Step 4: Simplify right side
    519,993,109x = 1,119,674,197,463,455,360
  5. Step 5: Solve for x
    x = 1,119,674,197,463,455,360/519,993,109
  6. Step 6: Final answer
    x = 2,153,248,145.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.