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Finding the Third Proportional to 910,906.31 and 1,361,339.16

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Solution

The third proportional to 910,906.31 and 1,361,339.16 is: 2,034,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,906.31 : 1,361,339.16 = 1,361,339.16 : x
  2. Step 2: Convert to fraction form
    910,906.31/1,361,339.16 = 1,361,339.16/x
  3. Step 3: Cross multiply
    910,906.31x = 1,361,339.16 × 1,361,339.16
  4. Step 4: Simplify right side
    910,906.31x = 1,853,244,298,339.46
  5. Step 5: Solve for x
    x = 1,853,244,298,339.46/910,906.31
  6. Step 6: Final answer
    x = 2,034,505.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.