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Finding the Third Proportional to 858,114 and 1,165,414.50

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Solution

The third proportional to 858,114 and 1,165,414.50 is: 1,582,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,114 : 1,165,414.50 = 1,165,414.50 : x
  2. Step 2: Convert to fraction form
    858,114/1,165,414.50 = 1,165,414.50/x
  3. Step 3: Cross multiply
    858,114x = 1,165,414.50 × 1,165,414.50
  4. Step 4: Simplify right side
    858,114x = 1,358,190,956,810.25
  5. Step 5: Solve for x
    x = 1,358,190,956,810.25/858,114
  6. Step 6: Final answer
    x = 1,582,762.85

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Why These Related Problems?

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