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Finding the Third Proportional to 682,328,783.13 and 975,065,610.88

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Solution

The third proportional to 682,328,783.13 and 975,065,610.88 is: 1,393,394,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,328,783.13 : 975,065,610.88 = 975,065,610.88 : x
  2. Step 2: Convert to fraction form
    682,328,783.13/975,065,610.88 = 975,065,610.88/x
  3. Step 3: Cross multiply
    682,328,783.13x = 975,065,610.88 × 975,065,610.88
  4. Step 4: Simplify right side
    682,328,783.13x = 950,752,945,511,036,928
  5. Step 5: Solve for x
    x = 950,752,945,511,036,928/682,328,783.13
  6. Step 6: Final answer
    x = 1,393,394,165.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.