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Finding the Third Proportional to 489,780,684 and 1,065,650,975

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Solution

The third proportional to 489,780,684 and 1,065,650,975 is: 2,318,613,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,780,684 : 1,065,650,975 = 1,065,650,975 : x
  2. Step 2: Convert to fraction form
    489,780,684/1,065,650,975 = 1,065,650,975/x
  3. Step 3: Cross multiply
    489,780,684x = 1,065,650,975 × 1,065,650,975
  4. Step 4: Simplify right side
    489,780,684x = 1,135,612,000,518,450,688
  5. Step 5: Solve for x
    x = 1,135,612,000,518,450,688/489,780,684
  6. Step 6: Final answer
    x = 2,318,613,284.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.