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Finding the Third Proportional to 577,410,804 and 1,244,960,999

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Solution

The third proportional to 577,410,804 and 1,244,960,999 is: 2,684,272,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,410,804 : 1,244,960,999 = 1,244,960,999 : x
  2. Step 2: Convert to fraction form
    577,410,804/1,244,960,999 = 1,244,960,999/x
  3. Step 3: Cross multiply
    577,410,804x = 1,244,960,999 × 1,244,960,999
  4. Step 4: Simplify right side
    577,410,804x = 1,549,927,889,031,077,888
  5. Step 5: Solve for x
    x = 1,549,927,889,031,077,888/577,410,804
  6. Step 6: Final answer
    x = 2,684,272,407.61

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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.