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Finding the Third Proportional to 682,304,193 and 975,028,500

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Solution

The third proportional to 682,304,193 and 975,028,500 is: 1,393,338,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,304,193 : 975,028,500 = 975,028,500 : x
  2. Step 2: Convert to fraction form
    682,304,193/975,028,500 = 975,028,500/x
  3. Step 3: Cross multiply
    682,304,193x = 975,028,500 × 975,028,500
  4. Step 4: Simplify right side
    682,304,193x = 950,680,575,812,249,984
  5. Step 5: Solve for x
    x = 950,680,575,812,249,984/682,304,193
  6. Step 6: Final answer
    x = 1,393,338,316.79

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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.