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Finding the Third Proportional to 870,816 and 1,345,064

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Solution

The third proportional to 870,816 and 1,345,064 is: 2,077,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,816 : 1,345,064 = 1,345,064 : x
  2. Step 2: Convert to fraction form
    870,816/1,345,064 = 1,345,064/x
  3. Step 3: Cross multiply
    870,816x = 1,345,064 × 1,345,064
  4. Step 4: Simplify right side
    870,816x = 1,809,197,164,096
  5. Step 5: Solve for x
    x = 1,809,197,164,096/870,816
  6. Step 6: Final answer
    x = 2,077,588.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.