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Finding the Third Proportional to 489,771,471 and 1,065,632,658

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Solution

The third proportional to 489,771,471 and 1,065,632,658 is: 2,318,577,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,771,471 : 1,065,632,658 = 1,065,632,658 : x
  2. Step 2: Convert to fraction form
    489,771,471/1,065,632,658 = 1,065,632,658/x
  3. Step 3: Cross multiply
    489,771,471x = 1,065,632,658 × 1,065,632,658
  4. Step 4: Simplify right side
    489,771,471x = 1,135,572,961,796,145,024
  5. Step 5: Solve for x
    x = 1,135,572,961,796,145,024/489,771,471
  6. Step 6: Final answer
    x = 2,318,577,191.68

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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.