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Finding the Third Proportional to 771,154 and 1,152,195

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Solution

The third proportional to 771,154 and 1,152,195 is: 1,721,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,154 : 1,152,195 = 1,152,195 : x
  2. Step 2: Convert to fraction form
    771,154/1,152,195 = 1,152,195/x
  3. Step 3: Cross multiply
    771,154x = 1,152,195 × 1,152,195
  4. Step 4: Simplify right side
    771,154x = 1,327,553,318,025
  5. Step 5: Solve for x
    x = 1,327,553,318,025/771,154
  6. Step 6: Final answer
    x = 1,721,515.18

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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.