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Finding the Third Proportional to 570,510,882 and 857,129,067

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Solution

The third proportional to 570,510,882 and 857,129,067 is: 1,287,740,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,510,882 : 857,129,067 = 857,129,067 : x
  2. Step 2: Convert to fraction form
    570,510,882/857,129,067 = 857,129,067/x
  3. Step 3: Cross multiply
    570,510,882x = 857,129,067 × 857,129,067
  4. Step 4: Simplify right side
    570,510,882x = 734,670,237,496,290,432
  5. Step 5: Solve for x
    x = 734,670,237,496,290,432/570,510,882
  6. Step 6: Final answer
    x = 1,287,740,971.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.