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Finding the Third Proportional to 654,520,638 and 1,411,048,788

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Solution

The third proportional to 654,520,638 and 1,411,048,788 is: 3,042,010,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,520,638 : 1,411,048,788 = 1,411,048,788 : x
  2. Step 2: Convert to fraction form
    654,520,638/1,411,048,788 = 1,411,048,788/x
  3. Step 3: Cross multiply
    654,520,638x = 1,411,048,788 × 1,411,048,788
  4. Step 4: Simplify right side
    654,520,638x = 1,991,058,682,116,269,056
  5. Step 5: Solve for x
    x = 1,991,058,682,116,269,056/654,520,638
  6. Step 6: Final answer
    x = 3,042,010,544.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.