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Finding the Third Proportional to 870,709.50 and 1,345,412.25

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Solution

The third proportional to 870,709.50 and 1,345,412.25 is: 2,078,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,709.50 : 1,345,412.25 = 1,345,412.25 : x
  2. Step 2: Convert to fraction form
    870,709.50/1,345,412.25 = 1,345,412.25/x
  3. Step 3: Cross multiply
    870,709.50x = 1,345,412.25 × 1,345,412.25
  4. Step 4: Simplify right side
    870,709.50x = 1,810,134,122,450.06
  5. Step 5: Solve for x
    x = 1,810,134,122,450.06/870,709.50
  6. Step 6: Final answer
    x = 2,078,918.54

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Why These Related Problems?

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