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Finding the Third Proportional to 870,683.63 and 1,345,427.44

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Solution

The third proportional to 870,683.63 and 1,345,427.44 is: 2,079,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,683.63 : 1,345,427.44 = 1,345,427.44 : x
  2. Step 2: Convert to fraction form
    870,683.63/1,345,427.44 = 1,345,427.44/x
  3. Step 3: Cross multiply
    870,683.63x = 1,345,427.44 × 1,345,427.44
  4. Step 4: Simplify right side
    870,683.63x = 1,810,174,989,577.82
  5. Step 5: Solve for x
    x = 1,810,174,989,577.82/870,683.63
  6. Step 6: Final answer
    x = 2,079,027.26

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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.