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Finding the Third Proportional to 489,769,961 and 1,065,630,084

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Solution

The third proportional to 489,769,961 and 1,065,630,084 is: 2,318,573,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,769,961 : 1,065,630,084 = 1,065,630,084 : x
  2. Step 2: Convert to fraction form
    489,769,961/1,065,630,084 = 1,065,630,084/x
  3. Step 3: Cross multiply
    489,769,961x = 1,065,630,084 × 1,065,630,084
  4. Step 4: Simplify right side
    489,769,961x = 1,135,567,475,925,847,040
  5. Step 5: Solve for x
    x = 1,135,567,475,925,847,040/489,769,961
  6. Step 6: Final answer
    x = 2,318,573,139.13

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