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Finding the Third Proportional to 1,054,255,804 and 1,542,575,694

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Solution

The third proportional to 1,054,255,804 and 1,542,575,694 is: 2,257,080,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,255,804 : 1,542,575,694 = 1,542,575,694 : x
  2. Step 2: Convert to fraction form
    1,054,255,804/1,542,575,694 = 1,542,575,694/x
  3. Step 3: Cross multiply
    1,054,255,804x = 1,542,575,694 × 1,542,575,694
  4. Step 4: Simplify right side
    1,054,255,804x = 2,379,539,771,719,581,696
  5. Step 5: Solve for x
    x = 2,379,539,771,719,581,696/1,054,255,804
  6. Step 6: Final answer
    x = 2,257,080,077.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.