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Finding the Third Proportional to 870,756 and 1,345,500

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Solution

The third proportional to 870,756 and 1,345,500 is: 2,079,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,756 : 1,345,500 = 1,345,500 : x
  2. Step 2: Convert to fraction form
    870,756/1,345,500 = 1,345,500/x
  3. Step 3: Cross multiply
    870,756x = 1,345,500 × 1,345,500
  4. Step 4: Simplify right side
    870,756x = 1,810,370,250,000
  5. Step 5: Solve for x
    x = 1,810,370,250,000/870,756
  6. Step 6: Final answer
    x = 2,079,078.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.