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Finding the Third Proportional to 491,562,648 and 1,052,852,004

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Solution

The third proportional to 491,562,648 and 1,052,852,004 is: 2,255,047,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,562,648 : 1,052,852,004 = 1,052,852,004 : x
  2. Step 2: Convert to fraction form
    491,562,648/1,052,852,004 = 1,052,852,004/x
  3. Step 3: Cross multiply
    491,562,648x = 1,052,852,004 × 1,052,852,004
  4. Step 4: Simplify right side
    491,562,648x = 1,108,497,342,326,816,000
  5. Step 5: Solve for x
    x = 1,108,497,342,326,816,000/491,562,648
  6. Step 6: Final answer
    x = 2,255,047,951.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.