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Finding the Third Proportional to 681,460,520 and 1,482,319,954

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Solution

The third proportional to 681,460,520 and 1,482,319,954 is: 3,224,357,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,460,520 : 1,482,319,954 = 1,482,319,954 : x
  2. Step 2: Convert to fraction form
    681,460,520/1,482,319,954 = 1,482,319,954/x
  3. Step 3: Cross multiply
    681,460,520x = 1,482,319,954 × 1,482,319,954
  4. Step 4: Simplify right side
    681,460,520x = 2,197,272,446,026,562,048
  5. Step 5: Solve for x
    x = 2,197,272,446,026,562,048/681,460,520
  6. Step 6: Final answer
    x = 3,224,357,657.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.