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Finding the Third Proportional to 761,682,546 and 1,052,472,245

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Solution

The third proportional to 761,682,546 and 1,052,472,245 is: 1,454,277,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,682,546 : 1,052,472,245 = 1,052,472,245 : x
  2. Step 2: Convert to fraction form
    761,682,546/1,052,472,245 = 1,052,472,245/x
  3. Step 3: Cross multiply
    761,682,546x = 1,052,472,245 × 1,052,472,245
  4. Step 4: Simplify right side
    761,682,546x = 1,107,697,826,495,340,032
  5. Step 5: Solve for x
    x = 1,107,697,826,495,340,032/761,682,546
  6. Step 6: Final answer
    x = 1,454,277,549.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.