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Finding the Third Proportional to 858,047.06 and 1,164,019.50

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Solution

The third proportional to 858,047.06 and 1,164,019.50 is: 1,579,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,047.06 : 1,164,019.50 = 1,164,019.50 : x
  2. Step 2: Convert to fraction form
    858,047.06/1,164,019.50 = 1,164,019.50/x
  3. Step 3: Cross multiply
    858,047.06x = 1,164,019.50 × 1,164,019.50
  4. Step 4: Simplify right side
    858,047.06x = 1,354,941,396,380.25
  5. Step 5: Solve for x
    x = 1,354,941,396,380.25/858,047.06
  6. Step 6: Final answer
    x = 1,579,099.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.