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Finding the Third Proportional to 1,312,770 and 1,966,965

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Solution

The third proportional to 1,312,770 and 1,966,965 is: 2,947,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,770 : 1,966,965 = 1,966,965 : x
  2. Step 2: Convert to fraction form
    1,312,770/1,966,965 = 1,966,965/x
  3. Step 3: Cross multiply
    1,312,770x = 1,966,965 × 1,966,965
  4. Step 4: Simplify right side
    1,312,770x = 3,868,951,311,225
  5. Step 5: Solve for x
    x = 3,868,951,311,225/1,312,770
  6. Step 6: Final answer
    x = 2,947,166.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.