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Finding the Third Proportional to 927,765 and 1,306,471.50

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Solution

The third proportional to 927,765 and 1,306,471.50 is: 1,839,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,765 : 1,306,471.50 = 1,306,471.50 : x
  2. Step 2: Convert to fraction form
    927,765/1,306,471.50 = 1,306,471.50/x
  3. Step 3: Cross multiply
    927,765x = 1,306,471.50 × 1,306,471.50
  4. Step 4: Simplify right side
    927,765x = 1,706,867,780,312.25
  5. Step 5: Solve for x
    x = 1,706,867,780,312.25/927,765
  6. Step 6: Final answer
    x = 1,839,763.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.