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Finding the Third Proportional to 733,656.39 and 1,013,774.64

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Solution

The third proportional to 733,656.39 and 1,013,774.64 is: 1,400,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,656.39 : 1,013,774.64 = 1,013,774.64 : x
  2. Step 2: Convert to fraction form
    733,656.39/1,013,774.64 = 1,013,774.64/x
  3. Step 3: Cross multiply
    733,656.39x = 1,013,774.64 × 1,013,774.64
  4. Step 4: Simplify right side
    733,656.39x = 1,027,739,025,934.35
  5. Step 5: Solve for x
    x = 1,027,739,025,934.35/733,656.39
  6. Step 6: Final answer
    x = 1,400,845.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.