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Finding the Third Proportional to 771,061 and 1,152,149

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Solution

The third proportional to 771,061 and 1,152,149 is: 1,721,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,061 : 1,152,149 = 1,152,149 : x
  2. Step 2: Convert to fraction form
    771,061/1,152,149 = 1,152,149/x
  3. Step 3: Cross multiply
    771,061x = 1,152,149 × 1,152,149
  4. Step 4: Simplify right side
    771,061x = 1,327,447,318,201
  5. Step 5: Solve for x
    x = 1,327,447,318,201/771,061
  6. Step 6: Final answer
    x = 1,721,585.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.